Prime p₀= 3020912120400373781 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 136 2 10 2 4 2 10 2 136 2 (?)
a_n: 0 2 138 140 150 152 156 158 168 170 306 308
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: 308
Found by: [SG-FC] hl
db: batch=82, k=12, 2 136 2 10 2 4

SPT(18)	3020911425293287639	0 22 78 84 112 114 124 138 144 148 154 168 178 180 208 214 270 292	-695107086142
STPT(10)	3020911531120386677	0 2 42 44 72 74 102 104 144 146	-589279987104
STPT(10)	3020911549730426249	0 2 18 20 60 62 102 104 120 122	-570669947532
SPT(16)	3020911863593677667	0 56 104 110 180 204 224 234 386 396 416 440 510 516 564 620	-256806696114
STPT(10)	3020912094841086791	0 2 36 38 78 80 120 122 156 158	-25559286990
STPT(10)	3020912096486174489	0 2 18 20 30 32 42 44 60 62	-23914199292
SPT(16)	3020912392305812869	0 64 82 90 118 130 142 168 244 270 282 294 322 330 348 412	271905439088
STPT(10)	3020912515151606429	0 2 48 50 90 92 132 134 180 182	394751232648
STPT(12)	3020912554387076681	0 2 36 38 48 50 78 80 90 92 126 128	433986702900
SPT(16)	3020913303295237859	0 18 20 42 78 90 98 104 138 144 152 164 200 222 224 242	1182894864078
SPT(16)	3020913439065513779	0 2 42 60 68 74 84 120 152 188 198 204 212 230 270 272	1318665139998