Prime p₀= 2880774528916298489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 88 2 16 2 10 2 28 2 16 2 (?)
a_n: 0 2 102 104 192 194 210 212 222 224 252 254 270 272
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: Landjunge
db: batch=82, k=14, 100 88 16 10 28 16

SPT(16)	2880772756470962459	0 18 60 84 98 138 192 194 198 200 254 294 308 332 374 392	-1772445336030
STPT(10)	2880772793759621567	0 2 72 74 102 104 132 134 204 206	-1735156676922
SPT(16)	2880773651919635807	0 14 30 54 56 86 96 132 164 200 210 240 242 266 282 296	-876996662682
STPT(10)	2880773838174135521	0 2 36 38 78 80 120 122 156 158	-690742162968
STPT(10)	2880773848705413467	0 2 42 44 72 74 102 104 144 146	-680210885022
SPT(16)	2880774285608581261	0 16 76 100 126 142 210 258 280 328 396 412 438 462 522 538	-243307717228
STPT(10)	2880774651954185417	0 2 30 32 72 74 114 116 144 146	123037886928
STPT(10)	2880775481871979787	0 2 30 32 42 44 54 56 84 86	952955681298
SPT(16)	2880776342086522811	0 68 86 98 110 116 140 162 176 198 222 228 240 252 270 338	1813170224322
TPT(14)	2880776450905158887	0 2 54 56 102 104 144 146 174 176 300 302 312 314	1921988860398
SPT(16)	2880776625931302121	0 36 60 66 88 90 118 126 220 228 256 258 280 286 310 346	2097015003632