Prime p₀= 520798977286371461 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 18 14 10 30 24 20 24 12 16 2 16 12 24 20 24 30 10 14 18 (?)
a_n: 0 18 32 42 72 96 116 140 152 168 170 186 198 222 242 266 296 306 320 338
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 338
derived by truncating larger tuple
Found by: [SG]KidDoesCrunch
db: batch=51, k=20, 18 14 10 30 24 20 24 12 16 2

SPT(14)	520798957189102453	0 4 46 58 60 66 70 144 148 154 156 168 210 214	-20097269008
SPT(14)	520798958954270141	0 36 56 62 68 78 90 188 200 210 216 222 242 278	-18332101320
SPT(14)	520798960041350491	0 12 42 88 100 130 138 160 168 198 210 256 286 298	-17245020970
SPT(14)	520798966490853203	0 6 20 60 66 90 98 258 266 290 296 336 350 356	-10795518258
SPT(14)	520798974323786341	0 40 42 52 112 138 156 232 250 276 336 346 348 388	-2962585120
SPT(22)	520798977286371439	0 22 40 54 64 94 118 138 162 174 190 192 208 220 244 264 288 318 328 342 360 382	-22
SPT(14)	520798987621073981	0 50 68 110 120 122 158 162 198 200 210 252 270 320	10334702520
TPT(14)	520799005441965749	0 2 48 50 72 74 78 80 102 104 120 122 132 134	28155594288
SPT(14)	520799013654051439	0 10 30 72 102 130 142 168 180 208 238 280 300 310	36367679978
TPT(12)	520799025501040721	0 2 30 32 78 80 198 200 348 350 360 362	48214669260
TPT(12)	520799042439698507	0 2 60 62 132 134 174 176 300 302 312 314	65153327046
SPT(14)	520799047098185659	0 30 58 72 84 138 198 334 394 448 460 474 502 532	69811814198