Prime p₀= 1040736897222094439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: stoneageman
db: batch=76, k=12, 2 10 2 28 2 34

STPT(10)	1040736243133107317	0 2 30 32 42 44 54 56 84 86	-654088987122
STPT(10)	1040736252056517197	0 2 24 26 42 44 60 62 84 86	-645165577242
SPT(16)	1040736333607765579	0 24 30 64 142 180 210 222 250 262 292 330 408 442 448 472	-563614328860
TPT(14)	1040736435927814259	0 2 18 20 30 32 60 62 102 104 168 170 228 230	-461294280180
SPT(16)	1040736788922107603	0 14 36 50 54 56 104 140 174 210 258 260 264 278 300 314	-108299986836
SPT(16)	1040736866787403733	0 24 84 104 146 156 168 188 276 296 308 318 360 380 440 464	-30434690706
STPT(10)	1040737079828916257	0 2 12 14 72 74 132 134 144 146	182606821818
STPT(10)	1040737243377492641	0 2 36 38 78 80 120 122 156 158	346155398202
SPT(16)	1040737365923343581	0 78 96 110 122 138 168 212 246 290 320 336 348 362 380 458	468701249142
SPT(16)	1040737619254332301	0 42 58 78 156 178 196 208 210 222 240 262 340 360 376 418	722032237862
SPT(16)	1040737679064201089	0 110 138 140 158 174 180 234 314 368 374 390 408 410 438 548	781842106650