Prime p₀= 1078207137752125811 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 58 2 22 2 64 2 58 2 10 2 (?)
a_n: 0 2 66 68 126 128 150 152 216 218 276 278 288 290
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: 290
Found by: stoneageman
db: batch=76, k=14, 64 58 22 64 58 10

SPT(16)	1078206234073474271	0 36 56 62 80 86 90 108 110 128 132 138 156 162 182 218	-903678651540
SPT(16)	1078206337933109101	0 28 40 72 78 112 132 136 222 226 246 280 286 318 330 358	-799819016710
STPT(10)	1078206365634263807	0 2 30 32 42 44 54 56 84 86	-772117862004
SPT(16)	1078206492311030611	0 40 42 58 60 78 138 148 180 190 250 268 270 286 288 328	-645441095200
SPT(16)	1078207011905194727	0 36 84 86 140 212 240 252 254 266 294 366 420 422 470 506	-125846931084
STPT(10)	1078207062655441877	0 2 54 56 72 74 90 92 144 146	-75096683934
SPT(16)	1078207512426085297	0 72 100 114 120 154 240 286 330 376 462 496 502 516 544 616	374673959486
SPT(16)	1078207833078032677	0 4 12 34 72 82 114 160 234 280 312 322 360 382 390 394	695325906866
TPT(14)	1078208038290135209	0 2 18 20 90 92 162 164 252 254 288 290 342 344	900538009398
STPT(10)	1078208198727668537	0 2 12 14 42 44 72 74 84 86	1060975542726
SPT(16)	1078208219146420987	0 4 36 60 102 114 162 186 280 304 352 364 406 430 462 466	1081394295176