Prime p₀= 2245691710890267527 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 84 86
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: 86
Found by: JonS
db: batch=81, k=12, 2 22 2 4 2 22

SPT(16)	2245689925511045903	0 8 66 80 86 108 138 180 194 236 266 288 294 308 366 374	-1785379221624
STPT(12)	2245689976350934667	0 2 30 32 72 74 222 224 264 266 294 296	-1734539332860
STPT(10)	2245690034004459737	0 2 90 92 102 104 114 116 204 206	-1676885807790
STPT(10)	2245690304390895137	0 2 12 14 42 44 72 74 84 86	-1406499372390
SPT(16)	2245691197073946373	0 10 16 76 94 108 118 190 204 276 286 300 318 378 384 394	-513816321154
STPT(10)	2245691488999571867	0 2 60 62 102 104 144 146 204 206	-221890695660
SPT(16)	2245692096192249751	0 22 48 60 72 88 90 172 186 268 270 286 298 310 336 358	385301982224
TPT(14)	2245692485387871677	0 2 54 56 120 122 150 152 174 176 234 236 252 254	774497604150
SPT(16)	2245692516974536879	0 28 40 42 60 90 142 174 208 240 292 322 340 342 354 382	806084269352
SPT(16)	2245692740284583671	0 28 78 90 118 130 160 228 268 336 366 378 406 418 468 496	1029394316144
STPT(10)	2245692852320817041	0 2 6 8 18 20 30 32 36 38	1141430549514