Prime p₀= 2627303166991037957 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 102 104 114 116 144 146
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: JayPi
db: batch=82, k=12, 2 28 2 10 2 58

TPT(14)	2627302242945566579	0 2 150 152 162 164 198 200 318 320 390 392 402 404	-924045471378
STPT(10)	2627302505488109081	0 2 6 8 48 50 90 92 96 98	-661502928876
TPT(14)	2627302525014855011	0 2 18 20 78 80 156 158 186 188 198 200 240 242	-641976182946
TPT(14)	2627302608962440247	0 2 24 26 102 104 114 116 144 146 180 182 192 194	-558028597710
SPT(16)	2627302621832990401	0 42 58 66 76 82 108 112 156 160 186 192 202 210 226 268	-545158047556
STPT(10)	2627302702721382107	0 2 90 92 102 104 114 116 204 206	-464269655850
TPT(14)	2627303198892831257	0 2 30 32 42 44 54 56 162 164 192 194 210 212	31901793300
STPT(10)	2627303491731307061	0 2 30 32 78 80 126 128 156 158	324740269104
TPT(14)	2627303611276505867	0 2 30 32 54 56 60 62 114 116 222 224 264 266	444285467910
SPT(16)	2627303919358027417	0 40 76 100 132 154 210 214 252 256 312 334 366 390 426 466	752366989460
SPT(16)	2627304008377673381	0 42 60 72 92 102 162 168 320 326 386 396 416 428 446 488	841386635424