Prime p₀= 1028477031216859787 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 34 2 100 2 28 2 28 2 (?)
a_n: 0 2 24 26 54 56 90 92 192 194 222 224 252 254
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: 254
Found by: stoneageman
db: batch=76, k=14, 22 28 34 100 28 28

TPT(14)	1028475740996183111	0 2 90 92 126 128 156 158 240 242 300 302 366 368	-1290220676676
SPT(16)	1028476068097650001	0 22 70 76 78 90 112 156 172 216 238 250 252 258 306 328	-963119209786
SPT(16)	1028476410754222537	0 6 22 34 42 66 106 150 196 240 280 304 312 324 340 346	-620462637250
STPT(10)	1028476557387789281	0 2 30 32 78 80 126 128 156 158	-473829070506
STPT(10)	1028476838238579617	0 2 24 26 42 44 60 62 84 86	-192978280170
SPT(16)	1028477010969451367	0 32 62 84 122 132 134 174 200 240 242 252 290 312 342 374	-20247408420
STPT(10)	1028477265346474547	0 2 90 92 102 104 114 116 204 206	234129614760
STPT(10)	1028477331271989629	0 2 30 32 60 62 90 92 120 122	300055129842
STPT(10)	1028477771918736479	0 2 18 20 30 32 42 44 60 62	740701876692
SPT(16)	1028478320519578939	0 24 40 58 72 108 112 168 274 330 334 370 384 402 418 442	1289302719152
STPT(10)	1028478462286729211	0 2 6 8 18 20 30 32 36 38	1431069869424