Prime p₀= 2828091448197958301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 166 2 10 2 16 2 10 2 (?)
a_n: 0 2 6 8 60 62 228 230 240 242 258 260 270 272
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: [SG-FC] hl
db: batch=82, k=14, 4 52 166 10 16 10

SPT(16)	2828089958437562173	0 10 60 78 124 136 138 160 264 286 288 300 346 364 414 424	-1489760396128
STPT(10)	2828090274333878339	0 2 30 32 60 62 90 92 120 122	-1173864079962
STPT(10)	2828090681814590711	0 2 36 38 78 80 120 122 156 158	-766383367590
SPT(16)	2828090980741039903	0 4 30 36 94 130 136 178 246 288 294 330 388 394 420 424	-467456918398
SPT(16)	2828091329653128587	0 20 42 96 104 116 126 132 164 170 180 192 200 254 276 296	-118544829714
STPT(10)	2828091339544906007	0 2 42 44 72 74 102 104 144 146	-108653052294
STPT(10)	2828091700921174937	0 2 12 14 72 74 132 134 144 146	252723216636
SPT(16)	2828091807740640229	0 12 34 42 54 70 88 118 144 174 192 208 220 228 250 262	359542681928
SPT(18)	2828092057125196637	0 42 44 62 72 80 86 90 96 200 206 210 216 224 234 252 254 296	608927238336
STPT(10)	2828092228860498251	0 2 36 38 78 80 120 122 156 158	780662539950
SPT(16)	2828092441290864317	0 50 62 96 170 174 194 230 246 282 302 306 380 414 426 476	993092906016