Prime p₀= 2116469554980888047 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 28 2 64 2 28 2 22 2 (?)
a_n: 0 2 24 26 54 56 120 122 150 152 174 176
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: 176
Found by: arkiss
db: batch=80, k=12, 2 22 2 28 2 64

STPT(10)	2116468442662322249	0 2 48 50 90 92 132 134 180 182	-1112318565798
STPT(10)	2116468614082220927	0 2 42 44 72 74 102 104 144 146	-940898667120
SPT(16)	2116468842146528117	0 20 26 42 44 56 92 176 210 294 330 342 344 360 366 386	-712834359930
SPT(16)	2116468924680349321	0 10 66 70 88 102 106 130 168 192 196 210 228 232 288 298	-630300538726
STPT(10)	2116469296835673719	0 2 18 20 30 32 42 44 60 62	-258145214328
TPT(16)	2116469554980887969	0 2 78 80 102 104 132 134 198 200 228 230 252 254 300 302	-78
SPT(18)	2116469568891058357	0 42 54 60 82 100 132 144 172 252 280 292 324 342 364 370 382 424	13910170310
SPT(16)	2116469706849082771	0 30 42 90 106 112 132 172 186 226 246 252 268 316 328 358	151868194724
STPT(10)	2116470232634993537	0 2 30 32 42 44 54 56 84 86	677654105490
SPT(16)	2116470424054751197	0 10 34 52 54 124 136 154 192 210 222 292 294 312 336 346	869073863150
SPT(16)	2116470581797483181	0 2 26 32 50 56 90 92 96 98 132 138 156 162 186 188	1026816595134