Prime p₀= 3018962156547899789 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 34

SPT(16)	3018960703487271827	0 30 36 44 110 114 140 264 326 450 476 480 546 554 560 590	-1453060627962
STPT(10)	3018961037183307449	0 2 48 50 60 62 72 74 120 122	-1119364592340
SPT(16)	3018961491271995341	0 8 18 20 42 90 122 132 158 168 200 248 270 272 282 290	-665275904448
STPT(10)	3018961586643541697	0 2 54 56 72 74 90 92 144 146	-569904358092
SPT(16)	3018961793978974637	0 6 14 30 36 54 56 84 92 120 122 140 146 162 170 176	-362568925152
STPT(10)	3018961891928024591	0 2 6 8 48 50 90 92 96 98	-264619875198
STPT(10)	3018962764146974327	0 2 42 44 72 74 102 104 144 146	607599074538
TPT(14)	3018962790283941131	0 2 96 98 156 158 168 170 180 182 288 290 336 338	633736041342
SPT(16)	3018962978437646813	0 6 20 26 30 44 66 96 158 188 210 224 228 234 248 254	821889747024
STPT(10)	3018963020059388921	0 2 30 32 78 80 126 128 156 158	863511489132
SPT(16)	3018963663546393313	0 78 108 130 148 160 168 174 190 196 204 216 234 256 286 364	1506998493524