Prime p₀= 1741341119245315331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 4 2 58 2 10 2 10 2 (?)
a_n: 0 2 30 32 120 122 126 128 186 188 198 200 210 212
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: 212
Found by: [AF>Libristes] Dudumomo
db: batch=79, k=14, 28 88 4 58 10 10

TPT(14)	1741339700286971171	0 2 30 32 78 80 126 128 258 260 288 290 396 398	-1418958344160
SPT(16)	1741339870202826667	0 46 160 184 210 250 256 270 280 294 300 340 366 390 504 550	-1249042488664
STPT(10)	1741339925916000197	0 2 60 62 72 74 84 86 144 146	-1193329315134
STPT(10)	1741340197549045277	0 2 30 32 60 62 90 92 120 122	-921696270054
STPT(10)	1741340593844863337	0 2 30 32 42 44 54 56 84 86	-525400451994
STPT(10)	1741340958152207021	0 2 36 38 78 80 120 122 156 158	-161093108310
STPT(10)	1741341303785831717	0 2 12 14 72 74 132 134 144 146	184540516386
TPT(16)	1741341529347291791	0 2 36 38 150 152 210 212 258 260 306 308 330 332 360 362	410101976460
SPT(16)	1741341578471986501	0 30 48 90 106 148 258 282 286 310 420 462 478 520 538 568	459226671170
SPT(16)	1741341650286904261	0 22 36 70 82 88 102 112 156 166 180 186 198 232 246 268	531041588930
SPT(16)	1741341660251274841	0 22 28 30 78 100 102 130 138 166 168 190 238 240 246 268	541005959510