Prime p₀= 1809849010531364819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 34 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 90 92 102 104 120 122
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: 122
Found by: [AF>EDLS]_Damien
db: batch=79, k=14, 16 22 34 10 10 16

SPT(16)	1809847287651094151	0 80 108 162 182 188 248 258 260 270 330 336 356 410 438 518	-1722880270668
STPT(10)	1809847626214384751	0 2 36 38 78 80 120 122 156 158	-1384316980068
TPT(14)	1809847871122755461	0 2 48 50 156 158 180 182 270 272 306 308 336 338	-1139408609358
SPT(16)	1809848347302944759	0 12 24 38 44 108 114 152 210 248 254 318 324 338 350 362	-663228420060
SPT(16)	1809848582588777443	0 16 60 88 126 136 160 166 228 234 258 268 306 334 378 394	-427942587376
STPT(10)	1809848724259621217	0 2 42 44 72 74 102 104 144 146	-286271743602
STPT(10)	1809849097954520057	0 2 30 32 42 44 54 56 84 86	87423155238
SPT(16)	1809849645620607889	0 60 70 72 78 112 130 148 162 180 198 232 238 240 250 310	635089243070
SPT(16)	1809849688521338701	0 28 30 46 100 118 142 150 178 186 210 228 282 298 300 328	677989973882
SPT(16)	1809849754962227353	0 16 58 60 114 124 148 190 204 246 270 280 334 336 378 394	744430862534
TPT(14)	1809850270808677541	0 2 6 8 66 68 78 80 120 122 138 140 168 170	1260277312722