Prime p₀= 2364147598264263059 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 118 2 40 2 16 2 40 2 118 2 (?)
a_n: 0 2 120 122 162 164 180 182 222 224 342 344
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: 344
Found by: meadoel
db: batch=81, k=12, 2 118 2 40 2 16

SPT(16)	2364146721316127743	0 4 28 90 94 106 150 186 388 424 468 480 484 546 570 574	-876948135316
SPT(16)	2364146866625205967	0 22 40 54 60 84 96 100 126 130 142 166 172 186 204 226	-731639057092
STPT(10)	2364147087769655369	0 2 18 20 30 32 42 44 60 62	-510494607690
STPT(10)	2364147312620910701	0 2 66 68 108 110 150 152 216 218	-285643352358
SPT(16)	2364147372804494401	0 10 22 36 40 88 132 148 150 166 210 258 262 276 288 298	-225459768658
SPT(16)	2364147387755975989	0 34 48 58 72 90 102 138 244 280 292 310 324 334 348 382	-210508287070
SPT(16)	2364147748008983383	0 18 40 58 88 100 166 186 220 240 306 318 348 366 388 406	149744720324
SPT(16)	2364147827902905943	0 10 64 84 174 208 264 280 288 304 360 394 484 504 558 568	229638642884
STPT(10)	2364147872125938719	0 2 42 44 60 62 78 80 120 122	273861675660
STPT(10)	2364147890243783429	0 2 30 32 60 62 90 92 120 122	291979520370
SPT(16)	2364148228674076043	0 14 24 30 38 68 96 110 234 248 276 306 314 320 330 344	630409812984