Prime p₀= 1037830702841351057 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: HenkM
db: batch=76, k=12, 2 58 2 22 2 4

SPT(16)	1037829856079792507	0 20 50 56 62 92 162 176 180 194 264 294 300 306 336 356	-846761558550
TPT(14)	1037829875012762009	0 2 138 140 180 182 222 224 258 260 300 302 330 332	-827828589048
SPT(16)	1037830104109582139	0 14 38 42 68 80 98 104 108 114 132 144 170 174 198 212	-598731768918
TPT(14)	1037830656249885299	0 2 42 44 168 170 240 242 258 260 300 302 312 314	-46591465758
STPT(10)	1037830677655232441	0 2 36 38 78 80 120 122 156 158	-25186118616
TPT(14)	1037830677655232441	0 2 36 38 78 80 120 122 156 158 180 182 246 248	-25186118616
STPT(10)	1037830760446621247	0 2 12 14 42 44 72 74 84 86	57605270190
SPT(16)	1037830791767333143	0 28 34 118 156 166 186 240 394 448 468 478 516 600 606 634	88925982086
SPT(16)	1037830796702208029	0 2 8 14 50 122 182 222 290 330 390 462 498 504 510 512	93860856972
SPT(16)	1037831335665178349	0 12 50 114 140 144 152 182 240 270 278 282 308 372 410 422	632823827292
SPT(16)	1037831337479547869	0 12 14 20 48 74 90 98 144 152 168 194 222 228 230 242	634638196812