Prime p₀= 2313458959540868987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: WTBroughton
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2313455889162175699	0 12 54 82 142 144 148 168 184 204 208 210 270 298 340 352	-3070378693288
STPT(10)	2313457360211260187	0 2 12 14 42 44 72 74 84 86	-1599329608800
STPT(10)	2313457592059160147	0 2 42 44 72 74 102 104 144 146	-1367481708840
SPT(16)	2313457811347794871	0 36 48 78 126 148 238 240 328 330 420 442 490 520 532 568	-1148193074116
STPT(10)	2313457864941153011	0 2 6 8 48 50 90 92 96 98	-1094599715976
STPT(10)	2313458069855799407	0 2 30 32 72 74 114 116 144 146	-889685069580
STPT(10)	2313459124892462147	0 2 12 14 42 44 72 74 84 86	165351593160
SPT(16)	2313459277086603827	0 20 44 54 62 80 90 132 164 206 216 234 242 252 276 296	317545734840
TPT(14)	2313459415008955331	0 2 66 68 96 98 108 110 150 152 180 182 186 188	455468086344
SPT(16)	2313459993073224361	0 6 22 28 36 42 72 88 90 106 136 142 150 156 172 178	1033532355374
SPT(16)	2313460211158859419	0 34 88 112 130 138 144 180 202 238 244 252 270 294 348 382	1251617990432