Prime p₀= 2943253211542706297 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 28 2 40 2 34 2 (?)
a_n: 0 2 42 44 54 56 72 74 102 104 144 146 180 182
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: 182
Found by: Landjunge
db: batch=82, k=14, 40 10 16 28 40 34

SPT(16)	2943252366390259589	0 12 54 68 72 78 110 158 204 252 284 290 294 308 350 362	-845152446708
STPT(10)	2943252573647047559	0 2 18 20 30 32 42 44 60 62	-637895658738
SPT(16)	2943252847149705583	0 10 58 100 136 148 208 238 246 276 336 348 384 426 474 484	-364393000714
STPT(10)	2943252964107204557	0 2 54 56 72 74 90 92 144 146	-247435501740
SPT(16)	2943253082940253289	0 38 84 104 140 218 248 252 260 264 294 372 408 428 474 512	-128602453008
SPT(16)	2943253089555878621	0 12 20 90 92 146 158 170 228 240 252 306 308 378 386 398	-121986827676
SPT(16)	2943253673545877357	0 44 80 86 110 122 150 176 240 266 294 306 330 336 372 416	462003171060
SPT(16)	2943253750902985631	0 38 60 102 116 132 140 158 180 198 206 222 236 278 300 338	539360279334
STPT(10)	2943253878996436931	0 2 30 32 78 80 126 128 156 158	667453730634
SPT(16)	2943253950471845183	0 6 18 56 144 174 176 216 218 258 260 290 378 416 428 434	738929138886
TPT(14)	2943254242017752807	0 2 60 62 72 74 132 134 210 212 282 284 312 314	1030475046510