Prime p₀= 960042630931051637 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: stoneageman
db: batch=76, k=12, 2 28 2 28 2 10

SPT(16)	960041519455474219	0 58 100 148 168 178 192 210 262 280 294 304 324 372 414 472	-1111475577418
SPT(16)	960042166599553507	0 30 40 66 70 72 106 136 156 186 220 222 226 252 262 292	-464331498130
STPT(10)	960042186119254871	0 2 6 8 48 50 90 92 96 98	-444811796766
SPT(16)	960042376910893621	0 48 52 66 90 102 112 192 196 276 286 298 322 336 340 388	-254020158016
STPT(10)	960042402712091729	0 2 18 20 30 32 42 44 60 62	-228218959908
SPT(16)	960042448529106157	0 10 36 40 64 66 106 132 154 180 220 222 246 250 276 286	-182401945480
SPT(16)	960042836510772233	0 8 20 48 104 140 146 168 176 198 204 240 296 324 336 344	205579720596
STPT(10)	960043037868102731	0 2 6 8 48 50 90 92 96 98	406937051094
STPT(10)	960043274592412817	0 2 42 44 72 74 102 104 144 146	643661361180
SPT(16)	960043371815961821	0 12 20 36 38 42 68 78 110 120 146 150 152 168 176 188	740884910184
SPT(16)	960043372404671293	0 6 16 18 36 58 88 90 154 156 186 208 226 228 238 244	741473619656