Prime p₀= 724927203982297241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 28 2 28 2 40 2 16 2 (?)
a_n: 0 2 90 92 126 128 156 158 186 188 228 230 246 248
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: 248
Found by: stasieks
db: batch=73, k=14, 88 34 28 28 40 16

STPT(10)	724926741686823449	0 2 12 14 90 92 168 170 180 182	-462295473792
SPT(16)	724926753947800913	0 26 54 68 110 126 144 150 194 200 218 234 276 290 318 344	-450034496328
STPT(10)	724926940557215909	0 2 42 44 60 62 78 80 120 122	-263425081332
SPT(16)	724926950667046837	0 6 22 30 54 64 112 124 282 294 342 352 376 384 400 406	-253315250404
STPT(10)	724927085567876801	0 2 30 32 78 80 126 128 156 158	-118414420440
STPT(10)	724927123509958277	0 2 30 32 42 44 54 56 84 86	-80472338964
SPT(16)	724927271797173013	0 6 28 70 76 108 126 136 150 160 178 210 216 258 280 286	67814875772
STPT(10)	724927419405952517	0 2 30 32 42 44 54 56 84 86	215423655276
STPT(10)	724927551100022507	0 2 12 14 42 44 72 74 84 86	347117725266
SPT(16)	724927652422484891	0 42 80 108 116 158 186 198 260 272 300 342 350 378 416 458	448440187650
SPT(16)	724928284040052121	0 18 52 60 142 148 162 172 336 346 360 366 448 456 490 508	1080057754880