Prime p₀= 1429945685656681901 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 46 2 40 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 120 122 168 170 198 200
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: 200
Found by: UBT - Timbo
db: batch=78, k=12, 2 28 2 46 2 40

SPT(16)	1429945228833095069	0 12 32 44 50 72 102 132 140 170 200 222 228 240 260 272	-456823586832
STPT(10)	1429945260474117809	0 2 42 44 120 122 198 200 240 242	-425182564092
TPT(14)	1429945381908220787	0 2 54 56 84 86 162 164 192 194 234 236 240 242	-303748461114
STPT(10)	1429945389900050447	0 2 30 32 72 74 114 116 144 146	-295756631454
SPT(16)	1429945423736491423	0 48 90 130 136 144 186 216 238 268 310 318 324 364 406 454	-261920190478
SPT(16)	1429945558900837331	0 6 26 36 90 132 146 182 210 246 260 302 356 366 386 392	-126755844570
TPT(14)	1429946448469905557	0 2 42 44 72 74 114 116 144 146 162 164 174 176	762813223656
SPT(16)	1429946722474691693	0 6 24 26 54 56 68 74 90 96 108 110 138 140 158 164	1036818009792
SPT(16)	1429946829278163337	0 10 12 42 64 82 94 144 190 240 252 270 292 322 324 334	1143621481436
STPT(10)	1429946919384222641	0 2 78 80 108 110 138 140 216 218	1233727540740
SPT(16)	1429947159161568899	0 8 12 38 74 158 168 222 230 284 294 378 414 440 444 452	1473504886998