Prime p₀= 870918273644078291 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 118 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 90 92 210 212 216 218 240 242 300 302
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: 302
Found by: jozef j
db: batch=73, k=14, 58 28 118 4 22 58

SPT(16)	870917071814709947	0 14 24 44 80 84 110 114 140 144 170 174 210 230 240 254	-1201829368344
SPT(20)	870917289774902549	0 14 44 72 110 174 180 182 194 210 284 300 312 314 320 384 422 450 480 494	-983869175742
SPT(20)	870917596043442743	0 26 50 54 56 66 108 120 138 168 176 206 224 236 278 288 290 294 318 344	-677600635548
SPT(16)	870917904499698863	0 20 44 98 150 188 194 210 218 234 240 278 330 384 408 428	-369144379428
TPT(14)	870918044165072171	0 2 6 8 48 50 168 170 210 212 366 368 438 440	-229479006120
SPT(16)	870918151319434501	0 66 78 112 132 136 150 166 192 208 222 226 246 280 292 358	-122324643790
STPT(10)	870918293261131691	0 2 36 38 78 80 120 122 156 158	19617053400
SPT(16)	870918345890107327	0 16 36 54 72 120 142 186 190 234 256 304 322 340 360 376	72246029036
SPT(16)	870918894086301163	0 4 10 34 90 108 120 130 168 178 190 208 264 288 294 298	620442222872
STPT(10)	870919156672598819	0 2 30 32 60 62 90 92 120 122	883028520528
STPT(10)	870919203465523109	0 2 18 20 30 32 42 44 60 62	929821444818