Prime p₀= 1025508752963517959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 52 2 28 2 4 2 52 2 (?)
a_n: 0 2 48 50 78 80 132 134 162 164 168 170 222 224
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: 224
Found by: stoneageman
db: batch=76, k=14, 46 28 52 28 4 52

STPT(10)	1025507469411656591	0 2 6 8 48 50 90 92 96 98	-1283551861368
TPT(14)	1025507569254359879	0 2 42 44 72 74 78 80 132 134 252 254 330 332	-1183709158080
STPT(10)	1025507709815673737	0 2 42 44 72 74 102 104 144 146	-1043147844222
SPT(16)	1025507724047383891	0 10 30 42 58 72 132 172 198 238 298 312 328 340 360 370	-1028916134068
SPT(16)	1025508029467003879	0 10 30 34 90 102 112 142 210 240 250 262 318 322 342 352	-723496514080
SPT(16)	1025508329368485317	0 20 26 50 56 90 102 104 132 134 146 180 186 210 216 236	-423595032642
STPT(10)	1025509302219293327	0 2 42 44 72 74 102 104 144 146	549255775368
SPT(16)	1025509432070421079	0 4 90 130 138 190 250 292 300 342 402 454 462 502 588 592	679106903120
STPT(10)	1025509456102217687	0 2 30 32 42 44 54 56 84 86	703138699728
STPT(10)	1025509565770622687	0 2 60 62 72 74 84 86 144 146	812807104728
STPT(10)	1025510342582284577	0 2 42 44 72 74 102 104 144 146	1589618766618