Prime p₀= 2059924643404624057 starts a Symmetric tuple of 18 consecutive primes (SPT).
d_n: 0 12 12 40 20 40 6 60 14 118 14 60 6 40 20 40 12 12 (?)
a_n: 0 12 24 64 84 124 130 190 204 322 336 396 402 442 462 502 514 526
All 18 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 526
Found by: Ben
db: batch=80, k=18, 12 12 40 20 40 6 60 14 118

SPT(16)	2059923394606552639	0 10 54 58 84 114 132 142 150 160 178 208 234 238 282 292	-1248798071418
SPT(18)	2059923624270131353	0 18 24 28 48 60 66 100 108 136 144 178 184 196 216 220 226 244	-1019134492704
STPT(10)	2059923886917937121	0 2 6 8 48 50 90 92 96 98	-756486686936
SPT(16)	2059924087100070557	0 6 20 42 104 120 144 182 204 242 266 282 344 366 380 386	-556304553500
SPT(16)	2059924125887017241	0 8 36 48 78 90 122 140 168 186 218 230 260 272 300 308	-517517606816
STPT(10)	2059924336611584957	0 2 90 92 192 194 294 296 384 386	-306793039100
STPT(10)	2059924703653209719	0 2 18 20 30 32 42 44 60 62	60248585662
TPT(14)	2059924804116284309	0 2 72 74 138 140 162 164 198 200 252 254 282 284	160711660252
SPT(16)	2059925052315482857	0 30 42 60 66 112 136 142 234 240 264 310 316 334 346 376	408910858800
STPT(12)	2059925075680916441	0 2 48 50 138 140 258 260 348 350 396 398	432276292384
SPT(16)	2059925213314692167	0 26 90 110 114 164 170 230 240 300 306 356 360 380 444 470	569910068110