Prime p₀= 1991411454390458081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 4 2 82 2 88 2 64 2 (?)
a_n: 0 2 36 38 120 122 126 128 210 212 300 302 366 368
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: Dingo
db: batch=80, k=14, 34 82 4 82 88 64

SPT(16)	1991410884502550587	0 6 10 46 52 84 96 112 114 130 142 174 180 216 220 226	-569887907494
SPT(16)	1991410887868415243	0 6 14 26 60 68 114 116 168 170 216 224 258 270 278 284	-566522042838
SPT(16)	1991410910631399841	0 16 22 28 30 52 78 82 96 100 126 148 150 156 162 178	-543759058240
SPT(18)	1991411073700272491	0 2 12 50 86 126 138 168 198 260 290 320 332 372 408 446 456 458	-380690185590
TPT(14)	1991411131932892937	0 2 42 44 54 56 120 122 222 224 252 254 282 284	-322457565144
SPT(16)	1991411340886237573	0 10 18 28 34 70 114 118 186 190 234 270 276 286 294 304	-113504220508
SPT(16)	1991411820436927391	0 6 68 90 182 198 252 258 320 326 380 396 488 510 572 578	366046469310
SPT(16)	1991412106993186747	0 4 6 16 36 46 70 106 114 150 174 184 204 214 216 220	652602728666
STPT(10)	1991412163180707731	0 2 36 38 78 80 120 122 156 158	708790249650
SPT(16)	1991412341689059071	0 2 30 38 96 110 116 122 216 222 228 242 300 308 336 338	887298600990
SPT(16)	1991412354826140011	0 2 12 42 62 80 108 110 210 212 240 258 278 308 318 320	900435681930