Prime p₀= 2850693150005246009 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: JayPi
db: batch=82, k=10, 2 46 2 10 2

SPT(16)	2850691847429223293	0 6 68 74 114 150 194 198 266 270 314 350 390 396 458 464	-1302576022716
SPT(16)	2850691877868101249	0 2 42 50 80 104 110 114 230 234 240 264 294 302 342 344	-1272137144760
STPT(10)	2850692277915521069	0 2 30 32 60 62 90 92 120 122	-872089724940
STPT(10)	2850692500023668477	0 2 60 62 72 74 84 86 144 146	-649981577532
STPT(10)	2850692752001566229	0 2 18 20 30 32 42 44 60 62	-398003679780
TPT(14)	2850692988645218411	0 2 36 38 78 80 90 92 126 128 168 170 198 200	-161360027598
STPT(10)	2850693287474806271	0 2 36 38 78 80 120 122 156 158	137469560262
SPT(16)	2850693543479679839	0 14 42 62 84 90 120 128 144 152 182 188 210 230 258 272	393474433830
SPT(16)	2850693761446769759	0 2 14 24 44 72 92 114 140 162 182 210 230 240 252 254	611441523750
STPT(10)	2850693861009002537	0 2 12 14 42 44 72 74 84 86	711003756528
SPT(16)	2850693876788306501	0 2 60 72 86 116 140 156 182 198 222 252 266 278 336 338	726783060492