Prime p₀= 1025419731790235459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 154 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 198 200 228 230 240 242
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: 242
Found by: HenkM
db: batch=76, k=12, 2 10 2 28 2 154

SPT(16)	1025419071254914001	0 2 18 72 98 110 138 162 176 200 228 240 266 320 336 338	-660535321458
STPT(10)	1025419325534662151	0 2 36 38 78 80 120 122 156 158	-406255573308
STPT(10)	1025419395134992937	0 2 60 62 102 104 144 146 204 206	-336655242522
SPT(16)	1025419414592390887	0 6 66 70 90 124 144 202 234 292 312 346 366 370 430 436	-317197844572
SPT(16)	1025419481822849467	0 4 72 102 126 154 162 186 250 274 282 310 334 364 432 436	-249967385992
SPT(16)	1025419695113285203	0 4 36 54 70 88 106 114 130 138 156 174 190 208 240 244	-36676950256
STPT(10)	1025419747426270121	0 2 30 32 78 80 126 128 156 158	15636034662
STPT(10)	1025419953850262021	0 2 6 8 18 20 30 32 36 38	222060026562
SPT(16)	1025420031620583551	0 8 36 38 72 96 108 116 162 170 182 206 240 242 270 278	299830348092
SPT(16)	1025420367924468727	0 22 52 70 72 100 124 180 334 390 414 442 444 462 492 514	636134233268
STPT(10)	1025420477049575609	0 2 30 32 60 62 90 92 120 122	745259340150