Prime p₀= 749581094962098491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 130 2 64 2 28 2 40 2 (?)
a_n: 0 2 78 80 108 110 240 242 306 308 336 338 378 380
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: 380
Found by: Frank [NT]
db: batch=73, k=14, 76 28 130 64 28 40

TPT(14)	749580112315607189	0 2 42 44 78 80 138 140 198 200 222 224 240 242	-982646491302
SPT(16)	749580360137469907	0 34 76 102 106 120 166 186 190 210 256 270 274 300 342 376	-734824628584
SPT(16)	749580644513467999	0 12 42 64 70 100 114 144 250 280 294 324 330 352 382 394	-450448630492
STPT(10)	749580866378462009	0 2 12 14 90 92 168 170 180 182	-228583636482
SPT(16)	749580949681674457	0 22 84 106 114 120 132 156 250 274 286 292 300 322 384 406	-145280424034
STPT(10)	749581042713924527	0 2 12 14 42 44 72 74 84 86	-52248173964
STPT(10)	749581320488096141	0 2 6 8 108 110 210 212 216 218	225525997650
SPT(16)	749581438851733193	0 6 38 56 60 66 96 110 144 158 188 194 198 216 248 254	343889634702
SPT(16)	749581923664109849	0 20 68 74 104 132 140 152 210 222 230 258 288 294 342 362	828702011358
STPT(10)	749582364644548007	0 2 42 44 72 74 102 104 144 146	1269682449516
SPT(16)	749582429987798383	0 34 48 60 84 88 126 160 174 208 246 250 274 286 300 334	1335025699892