Prime p₀= 2114985338187897821 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 70 2 16 2 22 2 4 2 (?)
a_n: 0 2 90 92 126 128 198 200 216 218 240 242 246 248
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: 248
Found by: Landjunge
db: batch=80, k=14, 88 34 70 16 22 4

TPT(14)	2114984195508001787	0 2 12 14 30 32 54 56 90 92 114 116 144 146	-1142679896034
SPT(16)	2114984331119810411	0 50 120 122 150 162 192 252 266 326 356 368 396 398 468 518	-1007068087410
TPT(14)	2114984448899451887	0 2 102 104 114 116 270 272 300 302 312 314 324 326	-889288445934
SPT(16)	2114984533852610659	0 18 84 114 148 154 184 288 340 444 474 480 514 544 610 628	-804335287162
SPT(16)	2114984819001242183	0 6 48 50 56 120 128 158 186 216 224 288 294 296 338 344	-519186655638
TPT(14)	2114985193591035209	0 2 42 44 78 80 108 110 138 140 162 164 168 170	-144596862612
STPT(10)	2114985397669218671	0 2 36 38 78 80 120 122 156 158	59481320850
STPT(10)	2114986207109243717	0 2 12 14 72 74 132 134 144 146	868921345896
STPT(10)	2114986552228915031	0 2 6 8 18 20 30 32 36 38	1214041017210
SPT(16)	2114986625312024837	0 2 14 42 44 50 80 90 116 126 156 162 164 192 204 206	1287124127016
STPT(10)	2114986732759748129	0 2 18 20 60 62 102 104 120 122	1394571850308