Prime p₀= 1756369378070067557 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: Orange Kid
db: batch=79, k=12, 2 10 2 10 2 4

STPT(10)	1756367892816567101	0 2 36 38 78 80 120 122 156 158	-1485253500456
SPT(16)	1756367915339869813	0 60 94 150 234 268 280 304 330 354 366 400 484 540 574 634	-1462730197744
SPT(16)	1756367936771167231	0 12 22 40 42 52 58 78 130 150 156 166 168 186 196 208	-1441298900326
SPT(16)	1756368598444931707	0 12 22 34 60 70 82 90 166 174 186 196 222 234 244 256	-779625135850
STPT(10)	1756368660757598939	0 2 18 20 30 32 42 44 60 62	-717312468618
SPT(16)	1756369310254526827	0 30 52 66 70 114 126 136 150 160 172 216 220 234 256 286	-67815540730
SPT(16)	1756369396306338497	0 12 24 54 102 116 132 150 176 194 210 224 272 302 314 326	18236270940
STPT(10)	1756370798948405411	0 2 30 32 78 80 126 128 156 158	1420878337854
STPT(10)	1756371125217833417	0 2 42 44 72 74 102 104 144 146	1747147765860
STPT(10)	1756371511501347509	0 2 18 20 30 32 42 44 60 62	2133431279952
STPT(10)	1756371590951708567	0 2 12 14 72 74 132 134 144 146	2212881641010