Prime p₀= 2062887072391034411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 70 2 46 2 22 2 (?)
a_n: 0 2 18 20 30 32 96 98 168 170 216 218 240 242
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: 242
Found by: Cruncher Pete
db: batch=80, k=14, 16 10 64 70 46 22

SPT(16)	2062886126018603729	0 8 20 42 44 54 78 134 138 194 218 228 230 252 264 272	-946372430682
STPT(10)	2062886154496004807	0 2 12 14 72 74 132 134 144 146	-917895029604
STPT(10)	2062886512867408727	0 2 90 92 102 104 114 116 204 206	-559523625684
STPT(10)	2062886708219095007	0 2 60 62 72 74 84 86 144 146	-364171939404
SPT(16)	2062886826857713253	0 14 50 56 78 104 108 116 168 176 180 206 228 234 270 284	-245533321158
SPT(16)	2062887008323051531	0 10 36 88 136 162 168 186 262 280 286 312 360 412 438 448	-64067982880
SPT(16)	2062887617201809961	0 2 38 72 168 248 252 260 330 338 342 422 518 552 588 590	544810775550
SPT(16)	2062887880130471731	0 22 46 58 82 96 100 102 106 108 112 126 150 162 186 208	807739437320
STPT(10)	2062887926030285087	0 2 24 26 42 44 60 62 84 86	853639250676
STPT(10)	2062887964711326677	0 2 12 14 42 44 72 74 84 86	892320292266
STPT(10)	2062888035497714597	0 2 12 14 42 44 72 74 84 86	963106680186