Prime p₀= 1235123264158430069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 76 2 40 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 132 134 210 212 222 224
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: 224
Found by: [SG-2W]Kurzer
db: batch=77, k=12, 2 10 2 76 2 40

TPT(14)	1235122302817335299	0 2 108 110 120 122 132 134 210 212 222 224 360 362	-961341094770
STPT(10)	1235122342151839247	0 2 30 32 42 44 54 56 84 86	-922006590822
SPT(16)	1235122420725641551	0 42 48 60 76 132 136 180 208 252 256 312 328 340 346 388	-843432788518
SPT(16)	1235122454689515149	0 44 84 104 150 164 258 290 318 350 444 458 504 524 564 608	-809468914920
SPT(16)	1235122972102274621	0 18 32 42 48 92 98 150 158 210 216 260 266 276 290 308	-292056155448
SPT(16)	1235123248660129099	0 12 52 118 124 144 150 160 222 232 238 258 264 330 370 382	-15498300970
SPT(16)	1235123374896172841	0 18 32 50 92 158 206 210 248 252 300 366 408 426 440 458	110737742772
STPT(10)	1235123626573195517	0 2 12 14 72 74 132 134 144 146	362414765448
STPT(10)	1235123667733621871	0 2 6 8 18 20 30 32 36 38	403575191802
STPT(10)	1235123749358827577	0 2 30 32 42 44 54 56 84 86	485200397508
SPT(16)	1235123969691831259	0 34 42 88 108 118 150 160 222 232 264 274 294 340 348 382	705533401190