Prime p₀= 878716123780821479 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 208 2 76 2 10 2 76 2 22 2 (?)
a_n: 0 2 60 62 270 272 348 350 360 362 438 440 462 464
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: 464
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 208 76 10 76 22

TPT(14)	878715667346315957	0 2 12 14 54 56 222 224 240 242 270 272 294 296	-456434505522
SPT(16)	878715741736984117	0 36 40 54 120 156 162 184 192 214 220 256 322 336 340 376	-382043837362
SPT(16)	878715880745296003	0 36 54 76 106 120 138 168 196 226 244 258 288 310 328 364	-243035525476
SPT(16)	878715933961270117	0 6 12 16 30 52 66 82 84 100 114 136 150 154 160 166	-189819551362
SPT(16)	878716060203370373	0 96 144 150 158 216 230 234 260 264 278 336 344 350 398 494	-63577451106
STPT(12)	878716085172798947	0 2 60 62 84 86 90 92 114 116 174 176	-38608022532
STPT(10)	878716216441760861	0 2 90 92 108 110 126 128 216 218	92660939382
SPT(16)	878716245642944869	0 10 18 30 52 88 124 142 180 198 234 270 292 304 312 322	121862123390
SPT(16)	878716532238380323	0 34 64 130 196 286 346 378 406 438 498 588 654 720 750 784	408457558844
TPT(14)	878717018416975739	0 2 42 44 72 74 108 110 198 200 210 212 222 224	894636154260
TPT(14)	878717226525467009	0 2 132 134 300 302 438 440 462 464 480 482 510 512	1102744645530