Prime p₀= 2593696494685480139 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 64 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 72 74 138 140 180 182 222 224 282 284
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: 284
Found by: JayPi
db: batch=82, k=14, 58 10 64 40 40 58

SPT(16)	2593695526375457533	0 30 64 100 154 168 184 204 214 234 250 264 318 354 388 418	-968310022606
SPT(16)	2593695625266612313	0 18 40 94 130 144 154 186 208 240 250 264 300 354 376 394	-869418867826
STPT(10)	2593695784578909707	0 2 12 14 72 74 132 134 144 146	-710106570432
SPT(16)	2593695823100837281	0 78 82 102 112 150 168 178 180 190 208 246 256 276 280 358	-671584642858
STPT(10)	2593695847988409737	0 2 60 62 72 74 84 86 144 146	-646697070402
SPT(16)	2593695864303819727	0 40 46 84 130 154 160 204 256 300 306 330 376 414 420 460	-630381660412
SPT(16)	2593696501640777287	0 16 42 52 66 84 96 150 256 310 322 340 354 364 390 406	6955297148
SPT(16)	2593696572454994207	0 12 42 50 84 104 122 146 180 204 222 242 276 284 314 326	77769514068
SPT(16)	2593697305431164747	0 42 44 62 90 104 150 162 182 194 240 254 282 300 302 344	810745684608
STPT(10)	2593697484873198791	0 2 6 8 48 50 90 92 96 98	990187718652
STPT(10)	2593697607805998191	0 2 36 38 78 80 120 122 156 158	1113120518052