Prime p₀= 4503864575857348367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 16 2 76 2 10 2 76 2 (?)
a_n: 0 2 24 26 54 56 72 74 150 152 162 164 240 242
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: 242
Found by: Antares2022
db: batch=85, k=14, 22 28 16 76 10 76

STPT(10)	4503862780361611109	0 2 18 20 60 62 102 104 120 122	-1795495737258
SPT(16)	4503862903813618867	0 12 22 36 42 84 124 130 156 162 202 244 250 264 274 286	-1672043729500
SPT(16)	4503863419017702581	0 50 98 156 176 186 188 206 210 228 230 240 260 318 366 416	-1156839645786
SPT(16)	4503863472396635929	0 10 24 58 72 82 114 124 138 148 180 190 204 238 252 262	-1103460712438
STPT(10)	4503863765339048951	0 2 36 38 78 80 120 122 156 158	-810518299416
STPT(10)	4503863989181960069	0 2 42 44 60 62 78 80 120 122	-586675388298
SPT(16)	4503864606828465877	0 4 40 76 96 150 166 172 174 180 196 250 270 306 342 346	30971117510
SPT(13)	4503865031835887281	0 6 12 42 90 132 156 180 222 270 300 306 312	455978538914
SPT(16)	4503865081465380823	0 30 40 54 70 76 100 166 168 234 258 264 280 294 304 334	505608032456
SPT(16)	4503865254177259169	0 2 8 30 50 84 162 168 254 260 338 372 392 414 420 422	678319910802
SPT(16)	4503865270176434039	0 50 54 80 128 150 164 194 234 264 278 300 348 374 378 428	694319085672