Prime p₀= 878617528946541719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 70 2 10 2 28 2 34 2 (?)
a_n: 0 2 60 62 168 170 240 242 252 254 282 284 318 320
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: 320
Found by: RFGuy_KCCO
db: batch=73, k=14, 58 106 70 10 28 34

SPT(16)	878616738910169443	0 30 34 64 174 216 228 246 268 286 298 340 450 480 484 514	-790036372276
SPT(16)	878616790051156609	0 48 118 120 160 190 238 270 280 312 360 390 430 432 502 550	-738895385110
SPT(18)	878616965354559427	0 34 76 90 126 150 162 192 204 232 244 274 286 310 346 360 402 436	-563591982292
SPT(18)	878617126102994819	0 14 24 62 144 170 182 210 230 294 314 342 354 380 462 500 510 524	-402843546900
TPT(14)	878617185075173351	0 2 78 80 108 110 150 152 168 170 216 218 288 290	-343871368368
SPT(16)	878617321958436217	0 40 70 82 94 100 114 150 154 190 204 210 222 234 264 304	-206988105502
SPT(16)	878617631560091147	0 20 50 114 126 140 240 282 314 356 456 470 482 546 576 596	102613549428
STPT(10)	878617981598727779	0 2 48 50 90 92 132 134 180 182	452652186060
STPT(10)	878618021865899057	0 2 30 32 42 44 54 56 84 86	492919357338
SPT(16)	878618117015748379	0 58 64 78 112 124 130 142 210 222 228 240 274 288 294 352	588069206660
SPT(16)	878618311080756731	0 2 36 56 60 72 78 102 116 140 146 158 162 182 216 218	782134215012