Prime p₀= 2356333817231433029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 94 2 100 2 40 2 46 2 28 2 (?)
a_n: 0 2 102 104 198 200 300 302 342 344 390 392 420 422
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: ChUcK
db: batch=81, k=14, 100 94 100 40 46 28

SPT(16)	2356332203379696943	0 4 10 48 58 64 66 150 154 238 240 246 256 294 300 304	-1613851736086
SPT(16)	2356332736163520377	0 6 74 96 116 126 156 204 236 284 314 324 344 366 434 440	-1081067912652
SPT(16)	2356332790606094327	0 24 144 170 186 210 222 234 242 254 266 290 306 332 452 476	-1026625338702
SPT(16)	2356332815726080379	0 30 44 80 90 104 108 138 140 170 174 188 198 234 248 278	-1001505352650
SPT(16)	2356333042340538923	0 74 78 104 110 116 126 188 336 398 408 414 420 446 450 524	-774890894106
TPT(14)	2356333232008865267	0 2 72 74 90 92 252 254 294 296 384 386 420 422	-585222567762
SPT(16)	2356333847915079533	0 14 18 50 90 128 138 146 168 176 186 224 264 296 300 314	30683646504
STPT(10)	2356333982463187169	0 2 42 44 60 62 78 80 120 122	165231754140
STPT(10)	2356334058634000127	0 2 12 14 72 74 132 134 144 146	241402567098
STPT(10)	2356334342233660037	0 2 30 32 42 44 54 56 84 86	525002227008
STPT(10)	2356334368408387151	0 2 36 38 78 80 120 122 156 158	551176954122