Prime p₀= 2583231132278020997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 52 2 28 2 94 2 28 2 52 2 (?)
a_n: 0 2 54 56 84 86 180 182 210 212 264 266
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 266
Found by: [SG-FC] hl
db: batch=82, k=12, 2 52 2 28 2 94

SPT(16)	2583230093738419381	0 36 42 46 78 100 102 120 148 166 168 190 222 226 232 268	-1038539601616
SPT(16)	2583230105419614433	0 6 40 48 66 118 126 150 154 178 186 238 256 264 298 304	-1026858406564
STPT(10)	2583230484206059739	0 2 18 20 30 32 42 44 60 62	-648071961258
SPT(16)	2583230600064691469	0 12 14 32 92 102 114 194 228 308 320 330 390 408 410 422	-532213329528
STPT(10)	2583230804340123281	0 2 36 38 78 80 120 122 156 158	-327937897716
SPT(18)	2583231048272408159	0 20 62 72 98 114 140 162 204 218 260 282 308 324 350 360 402 422	-84005612838
SPT(16)	2583231509409615767	0 2 36 54 62 92 96 120 146 170 174 204 212 230 264 266	377131594770
STPT(10)	2583231771265645571	0 2 36 38 78 80 120 122 156 158	638987624574
STPT(10)	2583231790049367209	0 2 18 20 30 32 42 44 60 62	657771346212
STPT(10)	2583232426971111257	0 2 24 26 42 44 60 62 84 86	1294693090260
SPT(16)	2583232579660873489	0 18 72 100 108 130 160 172 180 192 222 244 252 280 334 352	1447382852492