Prime p₀= 1041387321915307091 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 34 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 156 158
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: 158
Found by: stoneageman
db: batch=76, k=12, 2 16 2 40 2 34

STPT(10)	1041386169109176311	0 2 36 38 78 80 120 122 156 158	-1152806130780
STPT(10)	1041386246936560079	0 2 18 20 60 62 102 104 120 122	-1074978747012
SPT(16)	1041386433019963181	0 62 68 90 120 128 132 138 170 176 180 188 218 240 246 308	-888895343910
SPT(16)	1041386911799486579	0 12 18 20 38 42 48 92 150 194 200 204 222 224 230 242	-410115820512
STPT(10)	1041387151183219637	0 2 30 32 42 44 54 56 84 86	-170732087454
STPT(10)	1041387312121205681	0 2 30 32 78 80 126 128 156 158	-9794101410
STPT(10)	1041387446785203569	0 2 42 44 60 62 78 80 120 122	124869896478
SPT(16)	1041387447439327049	0 12 20 68 90 92 98 110 132 144 150 152 174 222 230 242	125524019958
STPT(10)	1041387463218804587	0 2 12 14 42 44 72 74 84 86	141303497496
STPT(10)	1041387483699936557	0 2 30 32 60 62 90 92 120 122	161784629466
SPT(16)	1041387594139403801	0 6 20 30 38 66 72 132 146 206 212 240 248 258 272 278	272224096710