Prime p₀= 1028480279254773377 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 30 32 60 62 84 86 90 92 114 116 132 134
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: 134
Found by: schoussi
db: batch=76, k=14, 28 28 22 4 22 16

SPT(16)	1028478647737448119	0 10 64 88 94 108 112 120 142 150 154 168 174 198 252 262	-1631517325258
STPT(10)	1028479036407832811	0 2 6 8 48 50 90 92 96 98	-1242846940566
SPT(18)	1028479243673711099	0 8 14 44 50 72 152 180 188 204 212 240 320 342 348 378 384 392	-1035581062278
STPT(10)	1028479806419685797	0 2 90 92 102 104 114 116 204 206	-472835087580
SPT(16)	1028479865417632897	0 42 52 124 126 132 142 166 210 234 244 250 252 324 334 376	-413837140480
SPT(16)	1028480035584804041	0 32 96 98 108 180 206 218 270 282 308 380 390 392 456 488	-243669969336
SPT(16)	1028480942772688553	0 18 68 96 128 150 156 206 228 278 284 306 338 366 416 434	663517915176
SPT(16)	1028480945752298029	0 4 52 90 112 124 144 172 210 238 258 270 292 330 378 382	666497524652
SPT(18)	1028480980653610331	0 12 50 68 78 80 86 110 122 126 138 162 168 170 180 198 236 248	701398836954
STPT(10)	1028481183211166327	0 2 30 32 42 44 54 56 84 86	903956392950
STPT(10)	1028481267939512867	0 2 30 32 42 44 54 56 84 86	988684739490