Prime p₀= 1245353398015546481 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 10 2 64 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 126 128 138 140 186 188
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: 188
Found by: Theadalus
db: batch=77, k=12, 2 46 2 10 2 64

SPT(16)	1245352878718226617	0 6 10 36 40 66 70 96 106 132 136 162 166 192 196 202	-519297319864
STPT(10)	1245352956237099761	0 2 6 8 18 20 30 32 36 38	-441778446720
SPT(13)	1245352974461027591	0 12 42 48 78 90 150 210 222 252 258 288 300	-423554518890
SPT(16)	1245352984873719259	0 28 40 48 54 114 118 142 150 174 178 238 244 252 264 292	-413141827222
STPT(10)	1245353092814824751	0 2 6 8 18 20 30 32 36 38	-305200721730
STPT(10)	1245353103581670869	0 2 30 32 60 62 90 92 120 122	-294433875612
SPT(16)	1245354212471267273	0 6 18 44 68 84 104 114 170 180 200 216 240 266 278 284	814455720792
SPT(16)	1245354445478563489	0 28 40 42 82 102 160 168 172 180 238 258 298 300 312 340	1047463017008
STPT(10)	1245354502126647527	0 2 24 26 42 44 60 62 84 86	1104111101046
SPT(16)	1245354713414217199	0 10 54 72 112 138 160 198 244 282 304 330 370 388 432 442	1315398670718
SPT(16)	1245355287028944757	0 24 40 70 94 96 136 144 172 180 220 222 246 276 292 316	1889013398276