Prime p₀= 2023630605063623819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 76 2 40 2 16 2 16 2 (?)
a_n: 0 2 18 20 102 104 180 182 222 224 240 242 258 260
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: 260
Found by: CoolAtchOk
db: batch=80, k=14, 16 82 76 40 16 16

SPT(16)	2023628563893692779	0 34 72 112 150 162 174 184 210 220 232 244 282 322 360 394	-2041169931040
STPT(10)	2023628677595337677	0 2 42 44 72 74 102 104 144 146	-1927468286142
SPT(16)	2023628854128508387	0 12 22 46 76 90 154 160 216 222 286 300 330 354 364 376	-1750935115432
SPT(16)	2023628983451314339	0 22 70 88 94 100 112 130 132 150 162 168 174 192 240 262	-1621612309480
SPT(16)	2023629321505314349	0 124 138 150 162 178 204 228 274 298 324 340 352 364 378 502	-1283558309470
STPT(10)	2023630347677600741	0 2 30 32 78 80 126 128 156 158	-257386023078
TPT(14)	2023630770385956287	0 2 24 26 84 86 174 176 180 182 342 344 372 374	165322332468
STPT(10)	2023630864423004279	0 2 42 44 60 62 78 80 120 122	259359380460
SPT(16)	2023631808616093759	0 4 42 52 108 142 154 174 178 198 210 244 300 310 348 352	1203552469940
STPT(10)	2023631963305608749	0 2 18 20 30 32 42 44 60 62	1358241984930
STPT(10)	2023631968266865457	0 2 54 56 72 74 90 92 144 146	1363203241638