Prime p₀= 725425159756928129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 16 2 22 2 16 2 28 2 (?)
a_n: 0 2 30 32 48 50 72 74 90 92 120 122
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: 122
Found by: jozef j
db: batch=73, k=12, 2 28 2 16 2 22

SPT(16)	725424454399917751	0 10 12 138 150 162 180 190 198 208 226 238 250 376 378 388	-705357010378
STPT(10)	725424473365739627	0 2 30 32 42 44 54 56 84 86	-686391188502
SPT(16)	725424494904248771	0 36 42 48 66 78 98 150 158 210 230 242 260 266 272 308	-664852679358
STPT(10)	725424559482578321	0 2 36 38 78 80 120 122 156 158	-600274349808
SPT(16)	725424759837687293	0 24 38 60 98 164 170 194 270 294 300 366 404 426 440 464	-399919240836
SPT(16)	725424789643141727	0 6 24 32 54 80 84 96 110 122 126 152 174 182 200 206	-370113786402
TPT(14)	725425190810524889	0 2 18 20 42 44 198 200 240 242 438 440 450 452	31053596760
SPT(16)	725425743247341223	0 6 28 40 48 58 64 70 84 90 96 106 114 126 148 154	583490413094
SPT(16)	725425827753511231	0 22 58 88 112 118 132 138 190 196 210 216 240 270 306 328	667996583102
SPT(16)	725425949780472599	0 2 128 152 242 270 278 288 344 354 362 390 480 504 630 632	790023544470
STPT(10)	725426822453442911	0 2 6 8 48 50 90 92 96 98	1662696514782