Prime p₀= 2789922011670479237 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 40 2 4

SPT(16)	2789920609325828401	0 10 100 112 142 192 210 232 288 310 328 378 408 420 510 520	-1402344650836
SPT(16)	2789921012066989519	0 28 60 88 94 112 160 162 220 222 270 288 294 322 354 382	-999603489718
SPT(16)	2789921140951376087	0 12 14 24 50 74 80 122 162 204 210 234 260 270 272 284	-870719103150
SPT(16)	2789921236621217033	0 18 44 48 80 84 98 110 144 156 170 174 206 210 236 254	-775049262204
STPT(10)	2789921806446039269	0 2 12 14 90 92 168 170 180 182	-205224439968
STPT(10)	2789921936249839211	0 2 6 8 18 20 30 32 36 38	-75420640026
SPT(16)	2789922333608644007	0 12 20 30 50 56 60 72 74 86 90 96 116 126 134 146	321938164770
TPT(14)	2789922426721327367	0 2 114 116 120 122 150 152 162 164 222 224 252 254	415050848130
SPT(16)	2789922958654282519	0 4 22 40 78 94 162 180 202 220 288 304 342 360 378 382	946983803282
STPT(10)	2789923550017553771	0 2 6 8 48 50 90 92 96 98	1538347074534
SPT(16)	2789923898184490559	0 18 24 30 78 140 144 204 248 308 312 374 422 428 434 452	1886514011322