Prime p₀= 1228013497266113729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 22 2 58 2 106 2 10 2 4 2 (?)
a_n: 0 2 138 140 162 164 222 224 330 332 342 344 348 350
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: 350
Found by: emoga
db: batch=77, k=14, 136 22 58 106 10 4

STPT(10)	1228012645532266337	0 2 42 44 72 74 102 104 144 146	-851733847392
STPT(10)	1228012681496456369	0 2 42 44 90 92 138 140 180 182	-815769657360
SPT(16)	1228012775988138757	0 30 36 42 52 66 100 112 144 156 190 204 214 220 226 256	-721277974972
SPT(16)	1228012936316778907	0 16 102 114 136 144 162 214 252 304 322 330 352 364 450 466	-560949334822
SPT(16)	1228012970687628329	0 18 54 80 102 140 144 164 198 218 222 260 282 308 344 362	-526578485400
SPT(16)	1228013487223193353	0 34 46 60 88 154 174 198 256 280 300 366 394 408 420 454	-10042920376
TPT(14)	1228013544467639297	0 2 12 14 84 86 144 146 174 176 210 212 222 224	47201525568
STPT(10)	1228013835676515869	0 2 42 44 60 62 78 80 120 122	338410402140
STPT(10)	1228013879939220929	0 2 42 44 60 62 78 80 120 122	382673107200
SPT(16)	1228014224095270159	0 10 22 28 48 52 60 100 120 160 168 172 192 198 210 220	726829156430
SPT(16)	1228014408705881869	0 28 70 108 174 178 232 238 294 300 354 358 424 462 504 532	911439768140