Prime p₀= 2290648367727041459 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: Landjunge
db: batch=81, k=12, 2 10 2 76 2 40

SPT(16)	2290646961612229567	0 6 76 84 96 130 166 204 256 294 330 364 376 384 454 460	-1406114811892
SPT(16)	2290647010500974017	0 12 34 40 102 112 114 124 132 142 144 154 216 222 244 256	-1357226067442
STPT(10)	2290647248393956349	0 2 18 20 60 62 102 104 120 122	-1119333085110
STPT(10)	2290647553317133847	0 2 42 44 72 74 102 104 144 146	-814409907612
SPT(16)	2290647575548111511	0 6 20 26 30 78 86 90 98 102 110 158 162 168 182 188	-792178929948
STPT(10)	2290647729022611851	0 2 6 8 48 50 90 92 96 98	-638704429608
STPT(10)	2290649125847133377	0 2 42 44 72 74 102 104 144 146	758120091918
TPT(14)	2290649647479102731	0 2 6 8 90 92 96 98 108 110 126 128 150 152	1279752061272
SPT(16)	2290649687389361293	0 28 46 58 64 76 78 114 160 196 198 210 216 228 246 274	1319662319834
STPT(10)	2290649716064785259	0 2 18 20 30 32 42 44 60 62	1348337743800
SPT(16)	2290649716468777633	0 16 28 30 46 48 88 100 114 126 166 168 184 186 198 214	1348741736174