Prime p₀= 935947310823754421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 82 2 118 2 16 2 148 2 (?)
a_n: 0 2 78 80 126 128 210 212 330 332 348 350 498 500
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: 500
Found by: Theadalus
db: batch=76, k=14, 76 46 82 118 16 148

SPT(16)	935946094839825119	0 14 24 78 98 114 138 150 182 194 218 234 254 308 318 332	-1215983929302
SPT(16)	935946203391470419	0 10 18 130 162 198 220 318 442 540 562 598 630 742 750 760	-1107432284002
SPT(16)	935946423018958817	0 6 36 90 110 116 126 156 200 230 240 246 266 320 350 356	-887804795604
STPT(10)	935946613998949697	0 2 60 62 72 74 84 86 144 146	-696824804724
STPT(10)	935947197304460177	0 2 42 44 72 74 102 104 144 146	-113519294244
STPT(10)	935947242974901299	0 2 18 20 30 32 42 44 60 62	-67848853122
STPT(10)	935947445406939149	0 2 30 32 60 62 90 92 120 122	134583184728
SPT(16)	935947595462139581	0 2 6 72 102 132 140 170 228 258 266 296 326 392 396 398	284638385160
STPT(10)	935947638043922561	0 2 30 32 78 80 126 128 156 158	327220168140
SPT(16)	935948583184331461	0 16 42 90 120 142 162 166 192 196 216 238 268 316 342 358	1272360577040
SPT(18)	935948821609010809	0 22 40 70 108 150 162 172 190 210 228 238 250 292 330 360 378 400	1510785256388