Prime p₀= 2177873688758753021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 10 2 58 2 4 2 70 2 10 2 (?)
a_n: 0 2 168 170 180 182 240 242 246 248 318 320 330 332
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: 332
Found by: [SG-FC] hl
db: batch=81, k=14, 166 10 58 4 70 10

SPT(16)	2177872139944124069	0 24 32 50 98 162 210 224 228 242 290 354 402 420 428 452	-1548814628952
SPT(16)	2177872717832648453	0 26 44 68 74 128 138 198 206 266 276 330 336 360 378 404	-970926104568
SPT(16)	2177872969182219563	0 14 20 30 44 78 104 108 140 144 170 204 218 228 234 248	-719576533458
SPT(18)	2177873028231222811	0 42 46 60 82 100 118 180 238 240 298 360 378 396 418 432 436 478	-660527530210
TPT(14)	2177873326063556579	0 2 132 134 150 152 318 320 402 404 432 434 468 470	-362695196442
SPT(16)	2177873644441306901	0 36 42 48 96 108 122 150 218 246 260 272 320 326 332 368	-44317446120
STPT(10)	2177873827492755911	0 2 36 38 78 80 120 122 156 158	138734002890
STPT(10)	2177873954539551839	0 2 18 20 30 32 42 44 60 62	265780798818
SPT(13)	2177874133071429103	0 6 48 78 138 156 168 180 198 258 288 330 336	444312676082
STPT(10)	2177874377480771939	0 2 12 14 30 32 48 50 60 62	688722018918
TPT(14)	2177874533038228601	0 2 66 68 78 80 90 92 126 128 150 152 168 170	844279475580