Prime p₀= 1023221197432174451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 250 2 40 2 4 2 28 2 10 2 (?)
a_n: 0 2 6 8 258 260 300 302 306 308 336 338 348 350
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: 350
Found by: zzuupp
db: batch=76, k=14, 4 250 40 4 28 10

SPT(16)	1023219869116141009	0 34 40 52 54 84 108 130 132 154 178 208 210 222 228 262	-1328316033442
SPT(16)	1023219989633515963	0 18 28 64 66 94 100 136 168 204 210 238 240 276 286 304	-1207798658488
STPT(10)	1023220029117562481	0 2 6 8 18 20 30 32 36 38	-1168314611970
SPT(16)	1023220111884847307	0 2 72 96 104 110 126 132 134 140 156 162 170 194 264 266	-1085547327144
SPT(18)	1023220118928007729	0 4 40 72 130 148 198 222 232 270 280 304 354 372 430 462 498 502	-1078504166722
STPT(10)	1023220289760084287	0 2 84 86 132 134 180 182 264 266	-907672090164
SPT(16)	1023221327061740117	0 12 20 26 122 126 132 146 210 224 230 234 330 336 344 356	129629565666
SPT(16)	1023221542493167729	0 4 18 48 60 144 220 228 280 288 364 448 460 490 504 508	345060993278
SPT(16)	1023221611509299551	0 6 16 90 100 108 126 136 150 160 178 186 196 270 280 286	414077125100
SPT(16)	1023221702440172509	0 10 42 54 58 70 112 130 162 180 222 234 238 250 282 292	505007998058
SPT(16)	1023221762162051027	0 44 60 66 104 116 120 170 246 296 300 312 350 356 372 416	564729876576