Prime p₀= 2002054959233026211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 46 2 28 2 10 2 196 2 22 2 (?)
a_n: 0 2 48 50 96 98 126 128 138 140 336 338 360 362
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: 362
Found by: suriv
db: batch=80, k=14, 46 46 28 10 196 22

SPT(16)	2002052995548634481	0 8 18 38 56 68 78 126 260 308 318 330 348 368 378 386	-1963684391730
SPT(16)	2002053119551494601	0 16 40 48 70 78 118 138 148 168 208 216 238 246 270 286	-1839681531610
SPT(16)	2002053303452921599	0 24 28 40 70 82 84 108 154 178 180 192 222 234 238 262	-1655780104612
STPT(10)	2002053330842216381	0 2 36 38 78 80 120 122 156 158	-1628390809830
SPT(18)	2002053467123877367	0 16 22 30 72 90 126 132 156 250 274 280 316 334 376 384 390 406	-1492109148844
STPT(10)	2002054812885505907	0 2 12 14 42 44 72 74 84 86	-146347520304
SPT(18)	2002055050907515993	0 16 28 60 70 90 130 156 180 244 268 294 334 354 364 396 408 424	91674489782
STPT(10)	2002055483836808261	0 2 138 140 168 170 198 200 336 338	524603782050
STPT(10)	2002055517332784917	0 2 120 122 150 152 180 182 300 302	558099758706
TPT(14)	2002055544763740647	0 2 30 32 42 44 150 152 192 194 234 236 282 284	585530714436
SPT(16)	2002055559985878497	0 66 80 90 156 162 174 200 216 242 254 260 326 336 350 416	600752852286