Prime p₀= 2234295831318499031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 10 2 40 2 76 2 106 2 (?)
a_n: 0 2 66 68 96 98 108 110 150 152 228 230 336 338
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: 338
Found by: Penguin
db: batch=81, k=14, 64 28 10 40 76 106

SPT(16)	2234294776466807473	0 6 16 46 58 60 100 118 138 156 196 198 210 240 250 256	-1054851691558
SPT(16)	2234295077162907167	0 56 62 66 90 92 126 134 222 230 264 266 290 294 300 356	-754155591864
SPT(16)	2234295276204024881	0 18 80 86 102 108 128 168 200 240 260 266 282 288 350 368	-555114474150
STPT(10)	2234295330344890781	0 2 90 92 150 152 210 212 300 302	-500973608250
SPT(16)	2234295450646947829	0 4 30 58 70 78 120 144 208 232 274 282 294 322 348 352	-380671551202
SPT(16)	2234295707591599151	0 8 62 128 188 230 236 252 266 282 288 330 390 456 510 518	-123726899880
SPT(16)	2234296021049798749	0 58 60 70 84 124 130 138 184 192 198 238 252 262 264 322	189731299718
STPT(10)	2234296040813796527	0 2 12 14 42 44 72 74 84 86	209495297496
SPT(16)	2234296268455693297	0 6 16 42 64 130 186 270 286 370 426 492 514 540 550 556	437137194266
SPT(16)	2234296403711842153	0 28 40 66 76 78 94 106 138 150 166 168 178 204 216 244	572393343122
STPT(10)	2234296542317338547	0 2 42 44 72 74 102 104 144 146	710998839516