Prime p₀= 911715214151247629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: Theadalus
db: batch=76, k=12, 2 28 2 28 2 76

SPT(16)	911714059026409531	0 28 36 100 102 112 142 156 202 216 246 256 258 322 330 358	-1155124838098
SPT(16)	911714113155239623	0 6 10 88 150 160 166 186 238 258 264 274 336 414 418 424	-1100996008006
STPT(10)	911714547489384797	0 2 90 92 132 134 174 176 264 266	-666661862832
STPT(10)	911714557074047927	0 2 12 14 72 74 132 134 144 146	-657077199702
SPT(16)	911715166811182661	0 42 48 56 78 102 110 132 146 168 176 200 222 230 236 278	-47340064968
TPT(14)	911715214151247599	0 2 30 32 60 62 90 92 168 170 198 200 228 230	-30
SPT(16)	911715304817943523	0 24 76 88 100 108 120 148 156 184 196 204 216 228 280 304	90666695894
TPT(14)	911715532085554247	0 2 162 164 204 206 240 242 252 254 294 296 342 344	317934306618
SPT(16)	911715645366728201	0 6 62 72 90 116 138 140 228 230 252 278 296 306 362 368	431215480572
STPT(10)	911715880516439807	0 2 12 14 42 44 72 74 84 86	666365192178
STPT(10)	911716670398369877	0 2 30 32 42 44 54 56 84 86	1456247122248