Prime p₀= 797145345818746049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 4 2 70 2 46 2 (?)
a_n: 0 2 12 14 72 74 102 104 108 110 180 182 228 230
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: 230
Found by: Jeff17
db: batch=73, k=14, 10 58 28 4 70 46

SPT(16)	797144768942155633	0 30 48 54 60 70 88 90 94 96 114 124 130 136 154 184	-576876590416
SPT(16)	797144837600185031	0 26 60 80 102 180 210 236 282 308 338 416 438 458 492 518	-508218561018
SPT(16)	797144984752796389	0 28 52 58 94 108 114 124 168 178 184 198 234 240 264 292	-361065949660
SPT(16)	797145026152205351	0 18 20 62 78 102 188 192 218 222 308 332 348 390 392 410	-319666540698
SPT(16)	797145076035966199	0 10 48 112 148 154 232 234 388 390 468 474 510 574 612 622	-269782779850
SPT(16)	797145184956007403	0 8 14 36 60 74 96 116 228 248 270 284 308 330 336 344	-160862738646
SPT(16)	797145418553487977	0 24 32 42 50 56 80 182 204 306 330 336 344 354 362 386	72734741928
STPT(10)	797145622908713579	0 2 48 50 90 92 132 134 180 182	277089967530
STPT(10)	797145626791793957	0 2 30 32 42 44 54 56 84 86	280973047908
STPT(10)	797145738610856597	0 2 30 32 42 44 54 56 84 86	392792110548
STPT(10)	797145897286290857	0 2 30 32 42 44 54 56 84 86	551467544808