Prime p₀= 2623943255877643121 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 10 2 16 2 58 2 22 2 (?)
a_n: 0 2 36 38 156 158 168 170 186 188 246 248 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 118 10 16 58 22

STPT(10)	2623942012650091871	0 2 78 80 108 110 138 140 216 218	-1243227551250
SPT(16)	2623942023867197519	0 30 90 104 122 132 150 162 260 272 290 300 318 332 392 422	-1232010445602
SPT(16)	2623942056673823891	0 18 32 48 56 62 66 68 90 92 96 102 110 126 140 158	-1199203819230
STPT(10)	2623942076823929759	0 2 18 20 30 32 42 44 60 62	-1179053713362
SPT(16)	2623942416102124279	0 10 18 52 70 78 88 112 120 144 154 162 180 214 222 232	-839775518842
TPT(14)	2623942450978752221	0 2 66 68 90 92 108 110 126 128 180 182 246 248	-804898890900
STPT(10)	2623943392895726687	0 2 30 32 60 62 90 92 120 122	137018083566
SPT(16)	2623943905398976469	0 78 84 140 162 182 194 200 222 228 240 260 282 338 344 422	649521333348
SPT(16)	2623944068412689249	0 8 90 134 138 164 168 218 264 314 318 344 348 392 474 482	812535046128
STPT(10)	2623944119347177181	0 2 36 38 78 80 120 122 156 158	863469534060
SPT(16)	2623945160713781071	0 12 30 46 52 76 102 126 142 166 192 216 222 238 256 268	1904836137950