Prime p₀= 1144368775668080057 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 58 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 102 104 132 134 144 146
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: 146
Found by: Polaxis
db: batch=76, k=12, 2 10 2 28 2 58

SPT(16)	1144367416411904257	0 4 42 46 82 84 94 96 100 102 112 114 150 154 192 196	-1359256175800
STPT(10)	1144367621643155969	0 2 42 44 90 92 138 140 180 182	-1154024924088
SPT(16)	1144368056916673181	0 36 50 60 98 120 126 132 236 242 248 270 308 318 332 368	-718751406876
TPT(14)	1144368298912276049	0 2 78 80 120 122 138 140 342 344 432 434 498 500	-476755804008
STPT(10)	1144368655442285549	0 2 48 50 90 92 132 134 180 182	-120225794508
SPT(16)	1144368662815644421	0 12 36 42 70 82 96 126 136 166 180 192 220 226 250 262	-112852435636
STPT(10)	1144368803442100961	0 2 6 8 48 50 90 92 96 98	27774020904
STPT(10)	1144368812172327587	0 2 24 26 42 44 60 62 84 86	36504247530
SPT(16)	1144369055433910517	0 24 56 80 102 156 182 212 234 264 290 344 366 390 422 446	279765830460
STPT(10)	1144369220856795287	0 2 12 14 72 74 132 134 144 146	445188715230
SPT(16)	1144369387822703797	0 42 100 102 124 154 166 196 210 240 252 282 304 306 364 406	612154623740