Prime p₀= 2162126453120273357 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 58

STPT(10)	2162125272115552529	0 2 30 32 60 62 90 92 120 122	-1181004720828
STPT(10)	2162125357377993989	0 2 42 44 60 62 78 80 120 122	-1095742279368
SPT(16)	2162125511511631319	0 8 12 42 68 78 122 128 174 180 224 234 260 290 294 302	-941608642038
STPT(10)	2162125843302553361	0 2 30 32 78 80 126 128 156 158	-609817719996
STPT(12)	2162126153686738079	0 2 42 44 120 122 162 164 240 242 282 284	-299433535278
SPT(16)	2162126453120273281	0 66 76 78 88 90 118 120 178 180 208 210 220 222 232 298	-76
SPT(16)	2162126829266259763	0 4 18 48 66 76 96 150 154 208 228 238 256 286 300 304	376145986406
STPT(10)	2162127838654302731	0 2 36 38 78 80 120 122 156 158	1385534029374
SPT(16)	2162128371052149743	0 6 20 26 50 60 84 96 104 116 140 150 174 180 194 200	1917931876386
TPT(14)	2162128606695649721	0 2 120 122 138 140 150 152 216 218 318 320 336 338	2153575376364
STPT(12)	2162128610393810717	0 2 42 44 84 86 150 152 192 194 234 236	2157273537360