Prime p₀= 2396051586916625159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Fialaalf
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2396049724574334401	0 2 18 20 60 62 126 128 138 140 156 158 198 200	-1862342290758
SPT(16)	2396050021338425761	0 30 46 58 60 78 96 100 126 130 148 166 168 180 196 226	-1565578199398
STPT(10)	2396050253150621651	0 2 78 80 108 110 138 140 216 218	-1333766003508
SPT(16)	2396050526831029993	0 16 66 88 94 108 114 126 238 250 256 270 276 298 348 364	-1060085595166
SPT(16)	2396051193794530847	0 2 26 54 60 66 72 80 156 164 170 176 182 210 234 236	-393122094312
STPT(10)	2396051463428917667	0 2 42 44 102 104 162 164 204 206	-123487707492
STPT(10)	2396051650637031461	0 2 6 8 48 50 90 92 96 98	63720406302
SPT(18)	2396051740036946777	0 30 66 80 92 132 140 146 170 252 276 282 290 330 342 356 392 422	153120321618
SPT(16)	2396051842043588059	0 18 24 30 34 70 78 88 90 100 108 144 148 154 160 178	255126962900
TPT(14)	2396051904729498929	0 2 12 14 18 20 90 92 138 140 168 170 210 212	317812873770
SPT(16)	2396052321781667377	0 6 30 52 64 66 72 112 114 154 160 162 174 196 220 226	734865042218