Prime p₀= 2161138782982841507 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2161137265863350413	0 28 34 46 84 88 94 100 144 150 156 160 198 210 216 244	-1517119491094
STPT(10)	2161137647254845599	0 2 18 20 30 32 42 44 60 62	-1135727995908
SPT(16)	2161137784202929513	0 16 18 28 76 78 114 126 148 160 196 198 246 256 258 274	-998779911994
SPT(16)	2161138603201896139	0 24 40 52 54 78 82 100 162 180 184 208 210 222 238 262	-179780945368
SPT(16)	2161138624992839729	0 72 90 110 122 128 174 188 234 248 294 300 312 332 350 422	-157990001778
TPT(14)	2161138755372277787	0 2 42 44 192 194 240 242 264 266 294 296 372 374	-27610563720
STPT(10)	2161139159198605679	0 2 42 44 60 62 78 80 120 122	376215764172
STPT(10)	2161139191970910059	0 2 18 20 30 32 42 44 60 62	408988068552
STPT(10)	2161139337889509977	0 2 24 26 42 44 60 62 84 86	554906668470
SPT(16)	2161139663302453279	0 4 28 42 64 88 108 112 270 274 294 318 340 354 378 382	880319611772
TPT(14)	2161139878889845169	0 2 30 32 42 44 120 122 138 140 180 182 198 200	1095907003662