Prime p₀= 747537233297043197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 88 2 58 2 136 2 28 2 28 2 (?)
a_n: 0 2 72 74 162 164 222 224 360 362 390 392 420 422
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: 422
Found by: Theadalus
db: batch=73, k=14, 70 88 58 136 28 28

TPT(16)	747536973159349949	0 2 120 122 168 170 210 212 240 242 252 254 270 272 312 314	-260137693248
SPT(16)	747537079697412281	0 2 26 32 56 60 68 72 116 120 128 132 156 162 186 188	-153599630916
STPT(10)	747537086855843927	0 2 24 26 42 44 60 62 84 86	-146441199270
SPT(16)	747537172052367973	0 66 70 78 90 100 148 156 160 168 216 226 238 246 250 316	-61244675224
STPT(10)	747537179588132189	0 2 12 14 90 92 168 170 180 182	-53708911008
SPT(16)	747537221574313003	0 30 64 66 96 166 190 196 264 270 294 364 394 396 430 460	-11722730194
SPT(16)	747537283634015521	0 22 28 40 52 118 132 166 192 226 240 306 318 330 336 358	50336972324
SPT(16)	747537559683925849	0 18 28 40 42 70 88 130 132 174 192 220 222 234 244 262	326386882652
SPT(16)	747537881786949983	0 20 98 140 158 240 288 290 294 296 344 426 444 486 564 584	648489906786
SPT(16)	747537951862365467	0 12 42 110 116 144 146 182 234 270 272 300 306 374 404 416	718565322270
SPT(16)	747538182934757107	0 6 10 34 150 154 160 166 180 186 192 196 312 336 340 346	949637713910