Prime p₀= 2258841585699219107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 40 2 106 2 16 2 10 2 10 2 (?)
a_n: 0 2 72 74 114 116 222 224 240 242 252 254 264 266
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: 266
Found by: JayPi
db: batch=81, k=14, 70 40 106 16 10 10

SPT(16)	2258840401130579317	0 34 42 72 154 156 172 240 256 324 340 342 424 454 462 496	-1184568639790
TPT(14)	2258840427719704457	0 2 30 32 102 104 114 116 192 194 210 212 222 224	-1157979514650
SPT(16)	2258840783295877927	0 16 40 60 90 94 132 216 220 304 342 346 376 396 420 436	-802403341180
STPT(10)	2258841133506191327	0 2 30 32 60 62 90 92 120 122	-452193027780
STPT(10)	2258841343806402317	0 2 30 32 42 44 54 56 84 86	-241892816790
SPT(16)	2258841351090453137	0 24 50 56 72 120 140 156 170 186 206 254 270 276 302 326	-234608765970
SPT(16)	2258841627500693761	0 66 70 88 102 162 172 208 210 246 256 316 330 348 352 418	41801474654
STPT(10)	2258841685809680339	0 2 18 20 30 32 42 44 60 62	100110461232
TPT(14)	2258841813497031869	0 2 12 14 150 152 168 170 240 242 252 254 330 332	227797812762
STPT(10)	2258841884165311769	0 2 42 44 60 62 78 80 120 122	298466092662
SPT(16)	2258842596416282869	0 58 82 100 130 142 144 150 172 178 180 192 222 240 264 322	1010717063762