Prime p₀= 1117706550125676359 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: Fardringle
db: batch=76, k=12, 2 28 2 28 2 40

SPT(16)	1117705437433801637	0 42 56 66 80 102 116 126 200 210 224 246 260 270 284 326	-1112691874722
SPT(16)	1117705459308562979	0 12 38 78 110 122 140 170 192 222 240 252 284 324 350 362	-1090817113380
SPT(16)	1117705690947567389	0 20 38 42 48 50 78 110 192 224 252 254 260 264 282 302	-859178108970
SPT(16)	1117705717605628079	0 24 32 42 54 74 110 140 144 174 210 230 242 252 260 284	-832520048280
SPT(16)	1117705900670564981	0 42 98 122 146 222 266 270 278 282 326 402 426 450 506 548	-649455111378
SPT(16)	1117706174670050443	0 4 24 88 90 114 126 136 168 178 190 214 216 280 300 304	-375455625916
STPT(10)	1117706957245835417	0 2 24 26 42 44 60 62 84 86	407120159058
SPT(18)	1117707007133096953	0 16 18 30 46 48 60 108 118 126 136 184 196 198 214 226 228 244	457007420594
STPT(10)	1117707494748988901	0 2 6 8 18 20 30 32 36 38	944623312542
TPT(14)	1117708213023332087	0 2 24 26 42 44 54 56 150 152 174 176 234 236	1662897655728
SPT(16)	1117708847256068713	0 10 64 126 130 156 184 196 228 240 268 294 298 360 414 424	2297130392354