Prime p₀= 1240999461632078609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 64 2 28 2 58 2 22 2 (?)
a_n: 0 2 30 32 42 44 108 110 138 140 198 200 222 224
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: Theadalus
db: batch=77, k=14, 28 10 64 28 58 22

SPT(18)	1240998874180490857	0 6 94 112 120 124 196 210 220 276 286 300 372 376 384 402 490 496	-587451587752
SPT(16)	1240998949604183389	0 12 22 42 54 64 70 112 132 174 180 190 202 222 232 244	-512027895220
SPT(16)	1240998973813780759	0 12 28 30 70 78 100 132 190 222 244 252 292 294 310 322	-487818297850
SPT(16)	1240999011527279351	0 2 20 36 62 110 168 198 200 230 288 336 362 378 396 398	-450104799258
SPT(16)	1240999307557395697	0 36 42 70 84 94 106 114 232 240 252 262 276 304 310 346	-154074682912
TPT(14)	1240999331517554237	0 2 12 14 210 212 222 224 252 254 312 314 324 326	-130114524372
STPT(10)	1240999883152483211	0 2 6 8 18 20 30 32 36 38	421520404602
SPT(16)	1241000443927359169	0 42 54 64 82 112 130 148 234 252 270 300 318 328 340 382	982295280560
SPT(16)	1241000447647833097	0 10 40 52 70 82 124 142 162 180 222 234 252 264 294 304	986015754488
SPT(16)	1241000551019648101	0 28 40 70 72 96 100 118 210 228 232 256 258 288 300 328	1089387569492
STPT(12)	1241000577687647429	0 2 42 44 90 92 120 122 168 170 210 212	1116055568820