Prime p₀= 1011402163970050379 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 16 2 190 2 28 2 16 2 (?)
a_n: 0 2 18 20 72 74 90 92 282 284 312 314 330 332
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: 332
Found by: stoneageman
db: batch=76, k=14, 16 52 16 190 28 16

SPT(16)	1011401396232356287	0 42 82 90 96 100 124 142 144 162 186 190 196 204 244 286	-767737694092
TPT(14)	1011401701932620021	0 2 6 8 18 20 60 62 90 92 126 128 168 170	-462037430358
STPT(10)	1011401712014683901	0 2 6 8 18 20 30 32 36 38	-451955366478
SPT(16)	1011401872823307673	0 10 16 30 100 114 130 154 186 210 226 240 310 324 330 340	-291146742706
SPT(16)	1011402009927688879	0 10 12 22 64 82 100 120 142 162 180 198 240 250 252 262	-154042361500
SPT(16)	1011402036394413113	0 6 50 74 84 104 114 140 150 176 186 206 216 240 284 290	-127575637266
SPT(20)	1011402227908039481	0 8 56 92 132 156 198 206 218 258 290 330 342 350 392 416 456 492 540 548	63937989102
SPT(16)	1011402269170306061	0 26 32 42 72 140 156 168 170 182 198 266 296 306 312 338	105200255682
SPT(16)	1011402656560655531	0 18 86 96 102 110 146 156 212 222 258 266 272 282 350 368	492590605152
SPT(16)	1011402807162385123	0 6 16 30 36 48 66 90 94 118 136 148 154 168 178 184	643192334744
STPT(10)	1011403139625143537	0 2 30 32 42 44 54 56 84 86	975655093158