Prime p₀= 1957124393139279149 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Ben
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	1957122581366332441	0 6 36 48 90 106 138 216 250 328 360 376 418 430 460 466	-1811772946708
TPT(14)	1957122701904169769	0 2 12 14 90 92 132 134 228 230 258 260 270 272	-1691235109380
SPT(16)	1957123483641449801	0 2 32 56 72 80 90 122 150 182 192 200 216 240 270 272	-909497829348
STPT(10)	1957124035862318249	0 2 12 14 90 92 168 170 180 182	-357276960900
STPT(10)	1957124070330055139	0 2 42 44 60 62 78 80 120 122	-322809224010
SPT(16)	1957124165384521823	0 8 48 68 110 134 138 254 264 380 384 408 450 470 510 518	-227754757326
TPT(14)	1957124486218278101	0 2 48 50 60 62 96 98 138 140 156 158 180 182	93078998952
STPT(10)	1957124549553619811	0 2 30 32 78 80 126 128 156 158	156414340662
STPT(10)	1957124596090670957	0 2 30 32 42 44 54 56 84 86	202951391808
STPT(10)	1957124785828196627	0 2 24 26 42 44 60 62 84 86	392688917478
STPT(10)	1957125312889286777	0 2 30 32 42 44 54 56 84 86	919750007628