Prime p₀= 2090891165788216997 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: CoolAtchOk
db: batch=80, k=12, 2 28 2 28 2 10

STPT(10)	2090890163899487009	0 2 12 14 90 92 168 170 180 182	-1001888729988
STPT(10)	2090890180375460237	0 2 54 56 72 74 90 92 144 146	-985412756760
SPT(16)	2090890189545253181	0 8 38 56 60 78 96 108 128 140 158 176 180 198 228 236	-976242963816
SPT(16)	2090890803735306919	0 10 54 84 112 150 162 198 274 310 322 360 388 418 462 472	-362052910078
STPT(10)	2090890943083164161	0 2 30 32 60 62 90 92 120 122	-222705052836
TPT(14)	2090891057175416339	0 2 30 32 42 44 138 140 198 200 228 230 252 254	-108612800658
SPT(16)	2090891455002218629	0 22 48 88 94 112 124 132 250 258 270 288 294 334 360 382	289214001632
SPT(16)	2090891476679687041	0 42 48 90 118 120 142 180 310 348 370 372 400 442 448 490	310891470044
TPT(14)	2090891817327442979	0 2 42 44 48 50 120 122 132 134 210 212 288 290	651539225982
SPT(16)	2090892617842668791	0 12 48 50 62 86 126 128 270 272 312 336 348 350 386 398	1452054451794
STPT(12)	2090892754957817051	0 2 36 38 48 50 168 170 180 182 216 218	1589169600054