Prime p₀= 1597266128569152659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
All 10 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-2W]Kurzer
db: batch=78, k=10, 2 46 2 10 2

SPT(18)	1597264950888627247	0 12 24 30 66 76 100 120 142 174 196 216 240 250 286 292 304 316	-1177680525412
SPT(16)	1597265195909100827	0 14 30 32 90 92 110 132 182 204 222 224 282 284 300 314	-932660051832
SPT(16)	1597265349093813281	0 2 36 50 128 158 168 176 192 200 210 240 318 332 366 368	-779475339378
STPT(10)	1597265380691705909	0 2 18 20 30 32 42 44 60 62	-747877446750
SPT(16)	1597265406303887167	0 4 12 46 52 70 82 180 196 294 306 324 330 364 372 376	-722265265492
SPT(16)	1597265594760357883	0 6 70 96 124 160 168 180 184 196 204 240 268 294 358 364	-533808794776
STPT(10)	1597266301481558957	0 2 12 14 42 44 72 74 84 86	172912406298
SPT(16)	1597266309244609391	0 12 42 50 126 146 168 198 230 260 282 302 378 386 416 428	180675456732
SPT(16)	1597266520001553353	0 30 38 116 134 156 164 198 206 240 248 270 288 366 374 404	391432400694
SPT(16)	1597266839834583007	0 16 34 46 54 72 84 100 126 142 154 172 180 192 210 226	711265430348
TPT(14)	1597266967618706399	0 2 12 14 42 44 138 140 162 164 198 200 240 242	839049553740