Prime p₀= 1121427765098330801 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 136 2 28 2 10 2 28 2 136 2 (?)
a_n: 0 2 138 140 168 170 180 182 210 212 348 350
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: 350
Found by: samuraiii
db: batch=76, k=12, 2 136 2 28 2 10

TPT(14)	1121426321312894339	0 2 12 14 78 80 138 140 162 164 222 224 240 242	-1443785436462
STPT(10)	1121426436920880089	0 2 18 20 30 32 42 44 60 62	-1328177450712
SPT(16)	1121426695450716751	0 28 40 48 82 172 202 222 286 306 336 426 460 468 480 508	-1069647614050
SPT(16)	1121427399560983703	0 18 24 44 66 68 84 86 138 140 156 158 180 200 206 224	-365537347098
SPT(16)	1121427535948971799	0 22 52 78 162 172 202 238 294 330 360 370 454 480 510 532	-229149359002
STPT(10)	1121427627379554107	0 2 30 32 42 44 54 56 84 86	-137718776694
SPT(16)	1121427958642948549	0 40 42 60 64 90 130 154 180 204 244 270 274 292 294 334	193544617748
STPT(10)	1121428092075865307	0 2 30 32 42 44 54 56 84 86	326977534506
SPT(16)	1121428199895717499	0 4 24 30 42 64 70 84 88 102 108 130 142 148 168 172	434797386698
TPT(14)	1121428252662270731	0 2 66 68 126 128 168 170 336 338 516 518 540 542	487563939930
SPT(16)	1121428254405301289	0 2 18 24 90 102 104 132 140 168 170 182 248 254 270 272	489306970488