Prime p₀= 935040971984625437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 28 2 46 2 16 2 10 2 (?)
a_n: 0 2 42 44 84 86 114 116 162 164 180 182 192 194
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: 194
Found by: JonS
db: batch=76, k=14, 40 40 28 46 16 10

SPT(16)	935038665224694761	0 12 42 98 108 110 188 206 222 240 318 320 330 386 416 428	-2306759930676
TPT(14)	935039105661266687	0 2 54 56 90 92 132 134 174 176 252 254 312 314	-1866323358750
TPT(14)	935039740057220951	0 2 60 62 138 140 168 170 180 182 228 230 270 272	-1231927404486
STPT(10)	935040012043308539	0 2 18 20 30 32 42 44 60 62	-959941316898
STPT(12)	935040168264893189	0 2 30 32 42 44 78 80 90 92 120 122	-803719732248
STPT(10)	935040818013553961	0 2 66 68 108 110 150 152 216 218	-153971071476
SPT(16)	935041091383433071	0 16 22 52 66 120 126 156 322 352 358 412 426 456 462 478	119398807634
SPT(16)	935041181659916543	0 150 156 168 188 200 210 216 368 374 384 396 416 428 434 584	209675291106
SPT(16)	935041192180831913	0 20 30 48 56 116 126 144 170 188 198 258 266 284 294 314	220196206476
STPT(10)	935041402620080057	0 2 30 32 42 44 54 56 84 86	430635454620
STPT(10)	935041649545972019	0 2 42 44 60 62 78 80 120 122	677561346582