Prime p₀= 1011394910180712857 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 58 2 76 2 16 2 10 2 130 2 (?)
a_n: 0 2 114 116 174 176 252 254 270 272 282 284 414 416
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: 416
Found by: stoneageman
db: batch=76, k=14, 112 58 76 16 10 130

SPT(16)	1011393933223657013	0 6 50 66 116 144 206 240 260 294 356 384 434 450 494 500	-976957055844
SPT(16)	1011393983655117511	0 10 40 70 78 88 120 130 186 196 228 238 246 276 306 316	-926525595346
SPT(16)	1011394325058439589	0 42 54 60 80 102 138 158 204 224 260 282 302 308 320 362	-585122273268
SPT(16)	1011394344527318501	0 2 12 36 96 122 128 138 140 150 156 182 242 266 276 278	-565653394356
SPT(16)	1011394518373452281	0 48 56 66 68 90 120 126 242 248 278 300 302 312 320 368	-391807260576
STPT(10)	1011394561758599867	0 2 30 32 60 62 90 92 120 122	-348422112990
SPT(16)	1011394947213913063	0 60 76 96 106 114 118 120 124 126 130 138 148 168 184 244	37033200206
STPT(10)	1011395043003835541	0 2 6 8 18 20 30 32 36 38	132823122684
SPT(16)	1011395398702116751	0 30 58 66 78 96 168 186 190 208 280 298 310 318 346 376	488521403894
STPT(10)	1011395512955761691	0 2 6 8 18 20 30 32 36 38	602775048834
STPT(10)	1011395580468454187	0 2 30 32 42 44 54 56 84 86	670287741330