Prime p₀= 745300012275754469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 16 2 52 2 4 2 40 2 118 2 (?)
a_n: 0 2 210 212 228 230 282 284 288 290 330 332 450 452
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: 452
Found by: Theadalus
db: batch=73, k=14, 208 16 52 4 40 118

SPT(16)	745298676528206809	0 10 60 72 154 208 220 232 270 282 294 348 430 442 492 502	-1335747547660
TPT(14)	745299384562499867	0 2 72 74 84 86 90 92 114 116 144 146 204 206	-627713254602
STPT(10)	745299746296985807	0 2 12 14 72 74 132 134 144 146	-265978768662
SPT(16)	745299776339156279	0 24 42 80 98 120 128 138 194 204 212 234 252 290 308 332	-235936598190
STPT(10)	745299789344137127	0 2 60 62 102 104 144 146 204 206	-222931617342
SPT(16)	745299802959514841	0 8 42 78 120 126 146 150 188 192 212 218 260 296 330 338	-209316239628
SPT(16)	745300209738859847	0 42 62 66 90 92 132 140 156 164 204 206 230 234 254 296	197463105378
TPT(14)	745300256762091461	0 2 30 32 156 158 186 188 210 212 270 272 300 302	244486336992
SPT(16)	745300349810515567	0 22 24 34 70 84 112 120 136 144 172 186 222 232 234 256	337534761098
SPT(16)	745300783908675991	0 40 52 78 106 118 138 162 166 190 210 222 250 276 288 328	771632921522
SPT(16)	745301104129380833	0 38 74 84 90 104 114 138 326 350 360 374 380 390 426 464	1091853626364