Prime p₀= 2561998266163533737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 64 2 22 2 28 2 88 2 (?)
a_n: 0 2 12 14 114 116 180 182 204 206 234 236 324 326
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: 326
Found by: [SG-FC] hl
db: batch=82, k=14, 10 100 64 22 28 88

STPT(10)	2561997357104076119	0 2 42 44 90 92 138 140 180 182	-909059457618
STPT(10)	2561997374786137469	0 2 18 20 30 32 42 44 60 62	-891377396268
SPT(18)	2561997489904333391	0 8 30 42 66 98 120 128 138 140 150 158 180 212 236 248 270 278	-776259200346
SPT(16)	2561997973107655657	0 4 22 40 46 72 84 100 126 142 154 180 186 204 222 226	-293055878080
SPT(16)	2561998136780103607	0 22 24 46 70 102 124 126 130 132 154 186 210 232 234 256	-129383430130
TPT(16)	2561998249829194871	0 2 6 8 48 50 90 92 120 122 156 158 168 170 246 248	-16334338866
SPT(16)	2561998349499103589	0 32 42 90 104 110 138 144 218 224 252 258 272 320 330 362	83335569852
STPT(10)	2561998408967685767	0 2 60 62 102 104 144 146 204 206	142804152030
STPT(10)	2561998830808510967	0 2 30 32 42 44 54 56 84 86	564644977230
SPT(16)	2561999027916166571	0 12 42 78 110 140 210 260 318 368 438 468 500 536 566 578	761752632834
SPT(16)	2561999075643382561	0 18 40 42 102 106 142 148 180 186 222 226 286 288 310 328	809479848824