Prime p₀= 1556689536167060717 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 10 2 10 2 88 2 (?)
a_n: 0 2 90 92 102 104 114 116 204 206
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: crashtech
db: batch=78, k=10, 2 88 2 10 2

SPT(16)	1556688120029647013	0 66 80 84 96 128 140 194 210 264 276 308 320 324 338 404	-1416137413704
SPT(16)	1556688761820950509	0 22 42 70 82 100 114 120 202 208 222 240 252 280 300 322	-774346110208
SPT(16)	1556689113855104497	0 52 72 76 100 136 160 162 184 186 210 246 270 274 294 346	-422311956220
SPT(13)	1556689498172930021	0 42 102 120 150 180 186 192 222 252 270 330 372	-37994130696
STPT(10)	1556689508783598587	0 2 30 32 72 74 114 116 144 146	-27383462130
SPT(18)	1556689516723698529	0 28 58 82 90 130 132 154 160 222 228 250 252 292 300 324 354 382	-19443362188
STPT(10)	1556689572686396969	0 2 42 44 60 62 78 80 120 122	36519336252
SPT(16)	1556689775415450821	0 26 48 66 80 90 96 182 186 272 278 288 302 320 342 368	239248390104
STPT(10)	1556689834772725517	0 2 12 14 72 74 132 134 144 146	298605664800
SPT(16)	1556689985316532513	0 16 18 24 28 58 66 84 100 118 126 156 160 166 168 184	449149471796
STPT(10)	1556690062577914079	0 2 12 14 90 92 168 170 180 182	526410853362