Prime p₀= 2323040410659134861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: WTBroughton
db: batch=81, k=10, 2 28 2 46 2

SPT(16)	2323039370083362169	0 10 42 64 72 108 130 144 148 162 184 220 228 250 282 292	-1040575772692
SPT(16)	2323039446369769157	0 30 72 116 120 186 192 200 252 260 266 332 336 380 422 452	-964289365704
SPT(16)	2323039752302754013	0 18 34 60 70 78 90 96 148 154 166 174 184 210 226 244	-658356380848
SPT(16)	2323039769006108153	0 14 18 30 44 74 114 126 128 140 180 210 224 236 240 254	-641653026708
TPT(14)	2323039834922997647	0 2 42 44 90 92 114 116 210 212 312 314 330 332	-575736137214
SPT(16)	2323040166123126623	0 26 38 50 68 90 104 140 174 210 224 246 264 276 288 314	-244536008238
SPT(16)	2323040806579597147	0 60 102 114 124 130 142 150 226 234 246 252 262 274 316 376	395920462286
STPT(10)	2323040958030616469	0 2 48 50 60 62 72 74 120 122	547371481608
STPT(10)	2323041633245958089	0 2 12 14 90 92 168 170 180 182	1222586823228
STPT(10)	2323042520014720121	0 2 36 38 78 80 120 122 156 158	2109355585260
STPT(10)	2323042763253018011	0 2 6 8 18 20 30 32 36 38	2352593883150