Prime p₀= 957415672379863427 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: HenkM
db: batch=76, k=12, 2 10 2 28 2 46

SPT(16)	957414563427488303	0 8 18 44 54 86 98 126 128 156 168 200 210 236 246 254	-1108952375124
STPT(10)	957414622450835597	0 2 42 44 72 74 102 104 144 146	-1049929027830
SPT(16)	957414840784085083	0 4 28 46 138 156 168 180 184 196 208 226 318 336 360 364	-831595778344
SPT(16)	957414927825338933	0 38 48 104 126 140 168 188 216 236 264 278 300 356 366 404	-744554524494
STPT(10)	957415096353717059	0 2 42 44 60 62 78 80 120 122	-576026146368
SPT(16)	957415613977005629	0 8 14 20 54 78 98 102 140 144 164 188 222 228 234 242	-58402857798
STPT(10)	957415759886330597	0 2 30 32 72 74 114 116 144 146	87506467170
STPT(10)	957415796559858149	0 2 48 50 90 92 132 134 180 182	124179994722
SPT(16)	957415803607385053	0 24 60 88 94 126 138 156 178 196 208 240 246 274 310 334	131227521626
SPT(16)	957415899694843123	0 36 64 96 108 168 198 208 306 316 346 406 418 450 478 514	227314979696
STPT(10)	957416031545083079	0 2 12 14 90 92 168 170 180 182	359165219652