Prime p₀= 2764287497151114071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 178 2 40 2 34 2 10 2 (?)
a_n: 0 2 126 128 168 170 348 350 390 392 426 428 438 440
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: 440
Found by: JayPi
db: batch=82, k=14, 124 40 178 40 34 10

SPT(16)	2764285991607195457	0 10 34 96 100 106 132 156 160 184 210 216 220 282 306 316	-1505543918614
TPT(14)	2764286116141305311	0 2 48 50 78 80 138 140 150 152 306 308 318 320	-1381009808760
SPT(16)	2764286141816532497	0 2 30 54 72 86 90 110 156 176 180 194 212 236 264 266	-1355334581574
TPT(14)	2764286728599257201	0 2 6 8 18 20 90 92 96 98 138 140 390 392	-768551856870
SPT(16)	2764286855285206231	0 22 36 66 96 166 172 180 238 246 252 322 352 382 396 418	-641865907840
TPT(14)	2764287291009697391	0 2 120 122 156 158 198 200 210 212 276 278 288 290	-206141416680
SPT(16)	2764287560095417757	0 36 60 74 92 102 140 162 224 246 284 294 312 326 350 386	62944303686
SPT(16)	2764287630260105239	0 12 58 78 114 132 142 148 174 180 190 208 244 264 310 322	133108991168
SPT(16)	2764287712380555259	0 28 40 52 54 84 132 202 210 280 328 358 360 372 384 412	215229441188
STPT(10)	2764288058506009337	0 2 30 32 42 44 54 56 84 86	561354895266
SPT(16)	2764288118112942779	0 2 8 24 44 50 54 74 78 98 102 108 128 144 150 152	620961828708