Prime p₀= 2506068073075335071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 124 2 40 2 88 2 46 2 (?)
a_n: 0 2 6 8 30 32 156 158 198 200 288 290 336 338
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: 338
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=14, 4 22 124 40 88 46

STPT(10)	2506067303302743161	0 2 36 38 78 80 120 122 156 158	-769772591910
SPT(16)	2506067331194635111	0 10 16 46 52 70 88 112 126 150 168 186 192 222 228 238	-741880699960
TPT(14)	2506067433818863301	0 2 30 32 36 38 78 80 90 92 156 158 168 170	-639256471770
SPT(16)	2506067750227256429	0 12 14 42 62 74 90 144 218 272 288 300 320 348 350 362	-322848078642
SPT(16)	2506067879633208811	0 40 46 48 70 78 88 130 156 198 208 216 238 240 246 286	-193442126260
STPT(10)	2506067921138613449	0 2 48 50 60 62 72 74 120 122	-151936721622
SPT(16)	2506068340844793191	0 26 56 90 96 122 158 176 192 210 246 272 278 312 342 368	267769458120
STPT(10)	2506068761921438711	0 2 6 8 48 50 90 92 96 98	688846103640
STPT(10)	2506068992045033081	0 2 6 8 18 20 30 32 36 38	918969698010
SPT(16)	2506069514074380329	0 18 48 92 102 144 174 188 204 218 248 290 300 344 374 392	1440999045258
SPT(16)	2506070007822050279	0 8 30 44 98 108 122 152 210 240 254 264 318 332 354 362	1934746715208