Prime p₀= 2322135337624214051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2322133823352557897	0 2 12 14 72 74 132 134 144 146	-1514271656154
TPT(14)	2322134016829244417	0 2 42 44 90 92 132 134 174 176 252 254 372 374	-1320794969634
STPT(10)	2322134024490045707	0 2 30 32 42 44 54 56 84 86	-1313134168344
TPT(14)	2322134392556283089	0 2 30 32 108 110 120 122 168 170 198 200 210 212	-945067930962
STPT(10)	2322134856167562299	0 2 42 44 90 92 138 140 180 182	-481456651752
SPT(16)	2322135171203648971	0 10 22 66 100 112 126 130 132 136 150 162 196 240 252 262	-166420565080
STPT(10)	2322135649024517111	0 2 30 32 78 80 126 128 156 158	311400303060
STPT(10)	2322135657220700639	0 2 42 44 90 92 138 140 180 182	319596486588
SPT(16)	2322135747905601713	0 8 26 38 78 86 108 116 120 128 150 158 198 210 228 236	410281387662
SPT(16)	2322135776144541667	0 6 22 34 36 84 144 154 162 172 232 280 282 294 310 316	438520327616
TPT(14)	2322135900141886319	0 2 30 32 72 74 78 80 108 110 192 194 402 404	562517672268