Prime p₀= 1059504813128578547 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: 134
Found by: Theadalus
db: batch=76, k=12, 2 10 2 28 2 46

SPT(16)	1059504084372525059	0 32 78 102 108 120 170 192 218 240 290 302 308 332 378 410	-728756053488
SPT(16)	1059504133544463809	0 2 12 30 38 60 72 74 138 140 152 174 182 200 210 212	-679584114738
SPT(16)	1059504420860333779	0 42 100 160 168 190 192 210 220 238 240 262 270 330 388 430	-392268244768
SPT(16)	1059504542800830283	0 16 28 40 94 100 124 150 154 180 204 210 264 276 288 304	-270327748264
SPT(16)	1059504742695579823	0 34 66 100 144 178 234 240 364 370 426 460 504 538 570 604	-70432998724
SPT(16)	1059504761867681719	0 18 22 58 84 148 150 178 204 232 234 298 324 360 364 382	-51260896828
STPT(10)	1059505082193086717	0 2 24 26 42 44 60 62 84 86	269064508170
STPT(10)	1059505172444657801	0 2 30 32 78 80 126 128 156 158	359316079254
SPT(16)	1059505718746787449	0 30 40 82 130 144 174 202 210 238 268 282 330 372 382 412	905618208902
SPT(20)	1059505719583952869	0 28 34 40 60 78 118 130 148 174 238 264 282 294 334 352 372 378 384 412	906455374322
SPT(16)	1059505781034870727	0 4 64 82 120 132 154 162 172 180 202 214 252 270 330 334	967906292180