Prime p₀= 1028475740996183111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 82 2 58 2 64 2 (?)
a_n: 0 2 90 92 126 128 156 158 240 242 300 302 366 368
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: 368
Found by: stoneageman
db: batch=76, k=14, 88 34 28 82 58 64

SPT(16)	1028474933339454479	0 42 50 60 72 74 98 102 110 114 138 140 152 162 170 212	-807656728632
TPT(14)	1028474985899992859	0 2 42 44 72 74 138 140 180 182 198 200 258 260	-755096190252
SPT(16)	1028475012890112247	0 22 42 84 120 132 192 202 204 214 274 286 322 364 384 406	-728106070864
SPT(16)	1028475193591479637	0 12 22 70 100 142 174 210 274 310 342 384 414 462 472 484	-547404703474
SPT(16)	1028475539512286309	0 8 44 134 152 192 224 240 272 288 320 360 378 468 504 512	-201483896802
SPT(16)	1028475631361105269	0 28 60 90 102 108 132 172 198 238 262 268 280 310 342 370	-109635077842
SPT(16)	1028476068097650001	0 22 70 76 78 90 112 156 172 216 238 250 252 258 306 328	327101466890
SPT(16)	1028476410754222537	0 6 22 34 42 66 106 150 196 240 280 304 312 324 340 346	669758039426
STPT(10)	1028476557387789281	0 2 30 32 78 80 126 128 156 158	816391606170
STPT(10)	1028476838238579617	0 2 24 26 42 44 60 62 84 86	1097242396506
SPT(16)	1028477010969451367	0 32 62 84 122 132 134 174 200 240 242 252 290 312 342 374	1269973268256