Prime p₀= 2596530697192176461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 6 8 36 38 66 68 78 80 96 98 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=14, 4 28 28 10 16 22

SPT(16)	2596528740114734717	0 26 50 54 80 122 144 146 180 182 204 246 272 276 300 326	-1957077441744
STPT(10)	2596528805776114577	0 2 30 32 42 44 54 56 84 86	-1891416061884
SPT(16)	2596529547101389357	0 22 64 76 100 142 154 156 160 162 174 216 240 252 294 316	-1150090787104
STPT(10)	2596529727204352307	0 2 30 32 42 44 54 56 84 86	-969987824154
STPT(10)	2596529825671638887	0 2 30 32 60 62 90 92 120 122	-871520537574
STPT(10)	2596530626200299791	0 2 30 32 60 62 90 92 120 122	-70991876670
TPT(14)	2596530732393333887	0 2 90 92 180 182 294 296 384 386 462 464 552 554	35201157426
SPT(16)	2596531075028995099	0 10 22 28 72 78 100 142 168 210 232 238 282 288 300 310	377836818638
SPT(16)	2596531144383215509	0 12 18 22 28 70 100 120 172 192 222 264 270 274 280 292	447191039048
STPT(10)	2596531578297156737	0 2 30 32 42 44 54 56 84 86	881104980276
STPT(10)	2596531804771070627	0 2 24 26 42 44 60 62 84 86	1107578894166