Prime p₀= 2319572101843503737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: vinn@[CNT]
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2319569899539530129	0 8 48 72 128 140 218 254 258 294 372 384 440 464 504 512	-2202303973608
STPT(10)	2319570677584672007	0 2 60 62 72 74 84 86 144 146	-1424258831730
SPT(16)	2319570851538557153	0 6 26 54 56 60 66 80 84 98 104 108 110 138 158 164	-1250304946584
SPT(16)	2319571018216920751	0 6 28 70 72 90 96 100 108 112 118 136 138 180 202 208	-1083626582986
STPT(10)	2319571104482045411	0 2 6 8 48 50 90 92 96 98	-997361458326
STPT(10)	2319571798937255711	0 2 36 38 78 80 120 122 156 158	-302906248026
SPT(18)	2319572515206055507	0 34 40 52 60 114 172 186 216 220 250 264 322 376 384 396 402 436	413362551770
STPT(10)	2319572545150334471	0 2 6 8 48 50 90 92 96 98	443306830734
SPT(16)	2319572568506182007	0 2 14 36 62 72 84 132 134 182 194 204 230 252 264 266	466662678270
STPT(10)	2319572926185663059	0 2 18 20 30 32 42 44 60 62	824342159322
SPT(16)	2319573756837010279	0 12 34 40 42 72 84 90 112 118 130 160 162 168 190 202	1654993506542