Prime p₀= 1005682904666830109 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 88 2 100 2 70 2 124 2 10 2 (?)
a_n: 0 2 18 20 108 110 210 212 282 284 408 410 420 422
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: 422
Found by: [SG]ATA-Rolf
db: batch=76, k=14, 16 88 100 70 124 10

STPT(12)	1005682017491828447	0 2 24 26 42 44 192 194 210 212 234 236	-887175001662
SPT(16)	1005682039482269713	0 4 54 64 76 126 154 196 264 306 334 384 396 406 456 460	-865184560396
SPT(16)	1005682098050319857	0 6 66 150 170 182 192 212 234 254 264 276 296 380 440 446	-806616510252
STPT(10)	1005682121554563767	0 2 30 32 72 74 114 116 144 146	-783112266342
STPT(10)	1005682483955773121	0 2 36 38 78 80 120 122 156 158	-420711056988
STPT(10)	1005682643500474109	0 2 18 20 30 32 42 44 60 62	-261166356000
SPT(16)	1005683669995206263	0 48 66 90 96 98 150 164 210 224 276 278 284 308 326 374	765328376154
SPT(16)	1005683742843459923	0 6 8 50 74 104 110 188 216 294 300 330 354 396 398 404	838176629814
STPT(10)	1005683955780014351	0 2 36 38 78 80 120 122 156 158	1051113184242
STPT(12)	1005684218083709147	0 2 42 44 60 62 84 86 102 104 144 146	1313416879038
SPT(16)	1005684372415528097	0 12 26 32 42 80 90 96 146 152 162 200 210 216 230 242	1467748697988