Prime p₀= 2258871698139808601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 28 2 70 2 16 2 10 2 (?)
a_n: 0 2 36 38 48 50 78 80 150 152 168 170 180 182
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: 182
Found by: JayPi
db: batch=81, k=14, 34 10 28 70 16 10

STPT(10)	2258870608490464037	0 2 24 26 42 44 60 62 84 86	-1089649344564
STPT(10)	2258870623550813717	0 2 30 32 42 44 54 56 84 86	-1074588994884
STPT(12)	2258870779000018397	0 2 54 56 60 62 84 86 90 92 144 146	-919139790204
SPT(16)	2258871078763459481	0 26 38 116 128 132 146 168 170 192 206 210 222 300 312 338	-619376349120
SPT(16)	2258871534751795739	0 68 80 98 128 132 150 182 198 230 248 252 282 300 312 380	-163388012862
SPT(16)	2258871595751785073	0 38 48 86 98 108 234 276 338 380 506 516 528 566 576 614	-102388023528
SPT(16)	2258871753253983019	0 22 88 102 120 124 130 144 148 162 168 172 190 204 270 292	55114174418
SPT(16)	2258872429121380117	0 34 82 100 114 126 154 184 192 222 250 262 276 294 342 376	730981571516
SPT(16)	2258872650791290343	0 54 90 98 110 116 144 176 228 260 288 294 306 314 350 404	952651481742
STPT(10)	2258872760895456227	0 2 30 32 42 44 54 56 84 86	1062755647626
SPT(16)	2258873076473219561	0 12 26 50 66 150 168 176 192 200 218 302 318 342 356 368	1378333410960