Prime p₀= 928100157024998687 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: 164
Found by: crashtech
db: batch=76, k=12, 2 28 2 40 2 16

SPT(16)	928099445604396431	0 18 36 56 92 120 122 158 210 246 248 276 312 332 350 368	-711420602256
SPT(16)	928099532814701309	0 32 60 62 80 90 138 144 188 194 242 252 270 272 300 332	-624210297378
TPT(14)	928099669432867889	0 2 18 20 42 44 60 62 138 140 150 152 168 170	-487592130798
TPT(14)	928099761469008677	0 2 24 26 84 86 150 152 174 176 180 182 264 266	-395555990010
SPT(16)	928099847790542953	0 40 64 78 108 114 130 154 180 204 220 226 256 270 294 334	-309234455734
SPT(16)	928099951265194783	0 54 66 126 154 166 180 220 294 334 348 360 388 448 460 514	-205759803904
STPT(10)	928100184740966219	0 2 12 14 90 92 168 170 180 182	27715967532
SPT(16)	928100231295757831	0 10 28 36 70 76 90 106 120 136 150 156 190 198 216 226	74270759144
STPT(10)	928100375415319199	0 2 42 44 60 62 78 80 120 122	218390320512
STPT(10)	928100528077247351	0 2 30 32 78 80 126 128 156 158	371052248664
SPT(16)	928101243524279411	0 6 26 32 68 116 138 168 170 200 222 270 306 312 332 338	1086499280724