Prime p₀= 729428353568485061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 36 38 78 80 108 110 126 128 150 152 168 170
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 170
Found by: Theadalus
db: batch=73, k=14, 34 40 28 16 22 16

STPT(10)	729426471285737549	0 2 18 20 60 62 102 104 120 122	-1882282747512
STPT(10)	729426517420435181	0 2 6 8 48 50 90 92 96 98	-1836148049880
STPT(10)	729426735481437857	0 2 54 56 132 134 210 212 264 266	-1618087047204
SPT(16)	729427147313028971	0 56 60 78 126 158 206 248 378 420 468 500 548 566 570 626	-1206255456090
SPT(16)	729427497985142261	0 26 56 78 96 120 128 140 198 210 218 242 260 282 312 338	-855583342800
SPT(16)	729428175699808769	0 8 20 32 38 84 164 188 204 228 308 354 360 372 384 392	-177868676292
TPT(14)	729428685213816557	0 2 30 32 132 134 144 146 222 224 300 302 390 392	331645331496
SPT(16)	729429322503116869	0 18 34 124 138 142 144 154 228 238 240 244 258 348 364 382	968934631808
STPT(10)	729429451220835527	0 2 30 32 42 44 54 56 84 86	1097652350466
STPT(10)	729429765962541401	0 2 6 8 18 20 30 32 36 38	1412394056340
SPT(16)	729429833669073371	0 8 30 48 60 86 90 98 108 116 120 146 158 176 198 206	1480100588310