Prime p₀= 2787645458267155919 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 58 2 34 2 40 2 40 2 (?)
a_n: 0 2 30 32 42 44 102 104 138 140 180 182 222 224
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: 224
Found by: JayPi
db: batch=82, k=14, 28 10 58 34 40 40

SPT(16)	2787644550186584951	0 2 32 38 48 56 66 90 98 122 132 140 150 156 186 188	-908080570968
STPT(10)	2787644862912368267	0 2 30 32 42 44 54 56 84 86	-595354787652
SPT(16)	2787644900639034377	0 56 104 110 116 144 170 194 342 366 392 420 426 432 480 536	-557628121542
SPT(16)	2787644948447223001	0 36 46 120 148 166 168 238 258 328 330 348 376 450 460 496	-509819932918
STPT(10)	2787645244132397951	0 2 30 32 78 80 126 128 156 158	-214134757968
SPT(16)	2787645295772960263	0 16 58 60 138 148 210 240 364 394 456 466 544 546 588 604	-162494195656
TPT(14)	2787645490206342371	0 2 48 50 90 92 168 170 210 212 216 218 336 338	31939186452
SPT(16)	2787645588965301973	0 18 24 46 90 156 166 174 220 228 238 304 348 370 376 394	130698146054
STPT(12)	2787645788713000727	0 2 24 26 54 56 150 152 180 182 204 206	330445844808
SPT(16)	2787645788894428961	0 56 90 98 108 116 146 170 186 210 240 248 258 266 300 356	330627273042
SPT(16)	2787645957133198171	0 10 52 76 106 108 126 132 136 142 160 162 192 216 258 268	498866042252