Prime p₀= 2352623177330108237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 16 2 40 2 28 2 118 2 (?)
a_n: 0 2 42 44 84 86 102 104 144 146 174 176 294 296
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: 296
Found by: arkiss
db: batch=81, k=14, 40 40 16 40 28 118

SPT(16)	2352622043684093263	0 10 24 60 70 88 130 148 150 168 210 228 238 274 288 298	-1133646014974
TPT(14)	2352622058039688359	0 2 138 140 150 152 198 200 210 212 240 242 378 380	-1119290419878
STPT(10)	2352622240907774081	0 2 36 38 78 80 120 122 156 158	-936422334156
SPT(16)	2352622436469455149	0 30 58 72 88 108 124 130 192 198 214 234 250 264 292 322	-740860653088
TPT(14)	2352622973562163427	0 2 24 26 30 32 72 74 114 116 210 212 240 242	-203767944810
SPT(16)	2352623015120207779	0 42 82 102 132 144 154 160 174 180 190 202 232 252 292 334	-162209900458
SPT(16)	2352623220501267601	0 30 60 96 180 202 220 228 250 258 276 298 382 418 448 478	43171159364
SPT(16)	2352623236441417867	0 12 16 30 36 82 102 132 154 184 204 250 256 270 274 286	59111309630
STPT(10)	2352623292448769309	0 2 12 14 30 32 48 50 60 62	115118661072
SPT(16)	2352623558979375119	0 14 20 44 54 62 114 132 140 158 210 218 228 252 258 272	381649266882
SPT(16)	2352624140371712063	0 36 50 68 90 96 98 156 278 336 338 344 366 384 398 434	963041603826