Prime p₀= 2313458069855799407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: WTBroughton
db: batch=81, k=10, 2 28 2 40 2

TPT(14)	2313455428420403381	0 2 36 38 48 50 78 80 156 158 168 170 240 242	-2641435396026
SPT(16)	2313455889162175699	0 12 54 82 142 144 148 168 184 204 208 210 270 298 340 352	-2180693623708
STPT(10)	2313457360211260187	0 2 12 14 42 44 72 74 84 86	-709644539220
STPT(10)	2313457592059160147	0 2 42 44 72 74 102 104 144 146	-477796639260
SPT(16)	2313457811347794871	0 36 48 78 126 148 238 240 328 330 420 442 490 520 532 568	-258508004536
STPT(10)	2313457864941153011	0 2 6 8 48 50 90 92 96 98	-204914646396
STPT(10)	2313458959540868987	0 2 12 14 42 44 72 74 84 86	889685069580
STPT(10)	2313459124892462147	0 2 12 14 42 44 72 74 84 86	1055036662740
SPT(16)	2313459277086603827	0 20 44 54 62 80 90 132 164 206 216 234 242 252 276 296	1207230804420
TPT(14)	2313459415008955331	0 2 66 68 96 98 108 110 150 152 180 182 186 188	1345153155924
SPT(16)	2313459993073224361	0 6 22 28 36 42 72 88 90 106 136 142 150 156 172 178	1923217424954