Prime p₀= 2342317257836454719 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: herby44
db: batch=81, k=10, 2 40 2 16 2

TPT(14)	2342315493856938881	0 2 66 68 150 152 156 158 240 242 288 290 336 338	-1763979515838
SPT(16)	2342315930364609391	0 10 58 70 108 126 156 180 208 232 262 280 318 330 378 388	-1327471845328
SPT(16)	2342316400015795457	0 24 36 62 66 72 80 92 114 126 134 140 144 170 182 206	-857820659262
SPT(16)	2342316440967934507	0 16 24 60 76 114 136 150 160 174 196 234 250 286 294 310	-816868520212
STPT(10)	2342316804765345377	0 2 54 56 72 74 90 92 144 146	-453071109342
SPT(16)	2342316971539548079	0 42 94 102 124 160 172 174 178 180 192 228 250 258 310 352	-286296906640
SPT(16)	2342317456315491637	0 76 82 114 136 142 162 240 286 364 384 390 412 444 450 526	198479036918
STPT(10)	2342317475759004407	0 2 42 44 72 74 102 104 144 146	217922549688
STPT(10)	2342317484015891321	0 2 36 38 78 80 120 122 156 158	226179436602
STPT(10)	2342317508423615477	0 2 42 44 72 74 102 104 144 146	250587160758
STPT(10)	2342317513076784557	0 2 30 32 42 44 54 56 84 86	255240329838