Prime p₀= 1021236290374251617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Spectrum
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1021235810385179531	0 2 6 8 18 20 30 32 36 38	-479989072086
STPT(10)	1021235883797979797	0 2 54 56 132 134 210 212 264 266	-406576271820
TPT(14)	1021236002921087909	0 2 18 20 48 50 168 170 180 182 222 224 348 350	-287453163708
SPT(16)	1021236027820711061	0 6 20 32 50 78 86 108 140 162 170 198 216 228 242 248	-262553540556
SPT(16)	1021236189130680737	0 2 54 86 102 104 140 146 180 186 222 224 240 272 324 326	-101243570880
SPT(16)	1021236223083215809	0 4 60 64 70 90 108 118 120 130 148 168 174 178 234 238	-67291035808
SPT(16)	1021236504698450023	0 34 36 54 88 90 124 144 190 210 244 246 280 298 300 334	214324198406
TPT(14)	1021236520731752261	0 2 60 62 138 140 180 182 228 230 336 338 408 410	230357500644
STPT(10)	1021236573230156159	0 2 42 44 120 122 198 200 240 242	282855904542
STPT(10)	1021236598294604357	0 2 30 32 42 44 54 56 84 86	307920352740
STPT(10)	1021236631479057179	0 2 18 20 30 32 42 44 60 62	341104805562