Prime p₀= 740739895288251767 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: Theadalus
db: batch=73, k=12, 2 28 2 10 2 16

STPT(10)	740739316730998199	0 2 18 20 30 32 42 44 60 62	-578557253568
SPT(16)	740739351149136641	0 30 60 66 96 120 186 212 276 302 368 392 422 428 458 488	-544139115126
STPT(10)	740739357315250607	0 2 30 32 72 74 114 116 144 146	-537973001160
TPT(14)	740739777000437957	0 2 12 14 42 44 54 56 72 74 84 86 114 116	-118287813810
STPT(12)	740739777000437969	0 2 30 32 42 44 60 62 72 74 102 104	-118287813798
STPT(10)	740739847953628667	0 2 42 44 72 74 102 104 144 146	-47334623100
SPT(16)	740740129294791937	0 6 10 24 34 72 90 100 126 136 154 192 202 216 220 226	234006540170
STPT(10)	740740321255570841	0 2 6 8 18 20 30 32 36 38	425967319074
SPT(16)	740740584827590549	0 10 30 88 100 108 132 142 168 178 202 210 222 280 300 310	689539338782
SPT(16)	740740767823433381	0 8 12 26 32 42 50 56 132 138 146 156 162 176 180 188	872535181614
TPT(14)	740741455679274869	0 2 42 44 72 74 120 122 150 152 210 212 222 224	1560391023102