Prime p₀= 2396051463428917667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 58 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 162 164 204 206
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: 206
Found by: Fialaalf
db: batch=81, k=10, 2 40 2 58 2

SPT(16)	2396049167918508493	0 4 18 156 184 198 208 226 378 396 406 420 448 586 600 604	-2295510409174
TPT(14)	2396049724574334401	0 2 18 20 60 62 126 128 138 140 156 158 198 200	-1738854583266
SPT(16)	2396050021338425761	0 30 46 58 60 78 96 100 126 130 148 166 168 180 196 226	-1442090491906
STPT(10)	2396050253150621651	0 2 78 80 108 110 138 140 216 218	-1210278296016
SPT(16)	2396050526831029993	0 16 66 88 94 108 114 126 238 250 256 270 276 298 348 364	-936597887674
SPT(16)	2396051193794530847	0 2 26 54 60 66 72 80 156 164 170 176 182 210 234 236	-269634386820
STPT(10)	2396051586916625159	0 2 18 20 30 32 42 44 60 62	123487707492
STPT(10)	2396051650637031461	0 2 6 8 48 50 90 92 96 98	187208113794
SPT(18)	2396051740036946777	0 30 66 80 92 132 140 146 170 252 276 282 290 330 342 356 392 422	276608029110
SPT(16)	2396051842043588059	0 18 24 30 34 70 78 88 90 100 108 144 148 154 160 178	378614670392
TPT(14)	2396051904729498929	0 2 12 14 18 20 90 92 138 140 168 170 210 212	441300581262