Prime p₀= 1233828920361994603 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 44 82 24 30 6 20 22 20 6 30 24 82 44 10 (?)
a_n: 0 10 54 136 160 190 196 216 238 258 264 294 318 400 444 454
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 454
Found by: damotbe
db: batch=77, k=16, 10 44 82 24 30 6 20 22

SPT(16)	1233827992835365337	0 14 42 104 114 132 194 242 282 330 392 410 420 482 510 524	-927526629266
SPT(16)	1233828037656695587	0 30 94 100 124 142 162 166 210 214 234 252 276 282 346 376	-882705299016
SPT(16)	1233828205709642233	0 4 18 66 84 88 126 136 138 148 186 190 208 256 270 274	-714652352370
SPT(16)	1233828621513464261	0 36 62 96 98 110 126 162 206 242 258 270 272 306 332 368	-298848530342
STPT(10)	1233828635947533761	0 2 36 38 78 80 120 122 156 158	-284414460842
SPT(18)	1233828716686449517	0 30 34 54 64 82 100 102 132 154 184 186 204 222 232 252 256 286	-203675545086
SPT(16)	1233828923410252703	0 14 48 56 66 80 84 158 216 290 294 308 318 326 360 374	3048258100
SPT(18)	1233829426203821789	0 44 80 84 114 122 150 210 212 222 224 284 312 320 350 354 390 434	505841827186
SPT(16)	1233829429247435819	0 24 42 50 80 108 110 138 164 192 194 222 252 260 278 302	508885441216
STPT(10)	1233829436736128537	0 2 30 32 42 44 54 56 84 86	516374133934
SPT(16)	1233829552035769651	0 28 40 42 48 78 118 120 130 132 172 202 208 210 222 250	631673775048