Prime p₀= 1526967073267285289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 64 2 310 2 28 2 40 2 34 2 (?)
a_n: 0 2 12 14 78 80 390 392 420 422 462 464 498 500
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: 500
Found by: biodoc
db: batch=78, k=14, 10 64 310 28 40 34

SPT(16)	1526966058752909329	0 42 52 70 84 100 112 114 148 150 162 178 192 210 220 262	-1014514375960
SPT(16)	1526966348287986227	0 14 24 44 66 84 102 110 156 164 182 200 222 242 252 266	-724979299062
STPT(10)	1526966591933654489	0 2 48 50 60 62 72 74 120 122	-481333630800
SPT(16)	1526966811956555621	0 38 56 60 66 92 98 108 260 270 276 302 308 312 330 368	-261310729668
SPT(16)	1526966993765809613	0 24 30 80 86 114 140 156 164 180 206 234 240 290 296 320	-79501475676
STPT(10)	1526967055244714507	0 2 54 56 72 74 90 92 144 146	-18022570782
SPT(16)	1526967795023696741	0 6 8 48 50 56 92 102 146 156 192 198 200 240 242 248	721756411452
SPT(16)	1526967970058656291	0 36 40 70 88 130 162 196 222 256 288 330 348 378 382 418	896791371002
SPT(16)	1526967986070636259	0 28 42 54 72 78 82 112 120 150 154 160 178 190 204 232	912803350970
STPT(10)	1526968310366774831	0 2 6 8 48 50 90 92 96 98	1237099489542
STPT(12)	1526968692266763587	0 2 72 74 90 92 114 116 132 134 204 206	1618999478298