Prime p₀= 1056826369702956701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 154 2 82 2 28 2 94 2 10 2 (?)
a_n: 0 2 30 32 186 188 270 272 300 302 396 398 408 410
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: 410
Found by: stoneageman
db: batch=76, k=14, 28 154 82 28 94 10

SPT(16)	1056825608925754111	0 6 12 30 48 52 58 70 78 90 96 100 118 136 142 148	-760777202590
SPT(18)	1056825688259979037	0 12 24 52 82 130 136 142 154 222 234 240 246 294 324 352 364 376	-681442977664
SPT(16)	1056825713337851279	0 14 60 114 132 180 198 224 258 284 302 350 368 422 468 482	-656365105422
STPT(12)	1056825791925870137	0 2 12 14 42 44 120 122 150 152 162 164	-577777086564
SPT(16)	1056826065062761517	0 2 32 42 60 62 110 146 150 186 234 236 254 264 294 296	-304640195184
STPT(10)	1056826170974176451	0 2 30 32 60 62 90 92 120 122	-198728780250
STPT(10)	1056826479020980607	0 2 30 32 60 62 90 92 120 122	109318023906
SPT(16)	1056826523642739743	0 60 80 84 90 150 168 180 188 200 218 278 284 288 308 368	153939783042
STPT(10)	1056826537238211791	0 2 6 8 18 20 30 32 36 38	167535255090
STPT(10)	1056826590769141847	0 2 54 56 72 74 90 92 144 146	221066185146
TPT(14)	1056827020283990621	0 2 78 80 108 110 198 200 288 290 318 320 330 332	650581033920