Prime p₀= 857500354311437621 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Frank [NT]
db: batch=73, k=10, 2 34 2 40 2

SPT(18)	857499612453200621	0 36 42 48 86 116 198 210 212 216 218 230 312 342 380 386 392 428	-741858237000
STPT(12)	857499729668969669	0 2 42 44 60 62 102 104 120 122 162 164	-624642467952
SPT(16)	857499772690875887	0 20 56 62 66 132 146 150 206 210 224 290 294 300 336 356	-581620561734
SPT(16)	857499965274404909	0 18 48 90 98 108 114 132 140 158 164 174 182 224 254 272	-389037032712
SPT(18)	857500052805413359	0 4 24 30 84 94 102 114 124 228 238 250 258 268 322 328 348 352	-301506024262
SPT(16)	857500071676628011	0 42 52 58 60 102 112 136 162 186 196 238 240 246 256 298	-282634809610
STPT(10)	857500388053082831	0 2 36 38 78 80 120 122 156 158	33741645210
STPT(10)	857500401706529627	0 2 12 14 72 74 132 134 144 146	47395092006
TPT(14)	857500670299680467	0 2 12 14 30 32 54 56 60 62 90 92 102 104	315988242846
STPT(10)	857500763124638429	0 2 18 20 30 32 42 44 60 62	408813200808
SPT(16)	857501212739843249	0 14 18 50 74 84 120 158 204 242 278 288 312 344 348 362	858428405628