Prime p₀= 2377679894274614117 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2377679329206038657	0 2 30 60 116 134 140 176 210 246 252 270 326 356 384 386	-565068575460
SPT(16)	2377679449581026621	0 6 20 32 50 62 66 108 140 182 186 198 216 228 242 248	-444693587496
TPT(14)	2377679725571537501	0 2 48 50 90 92 156 158 168 170 186 188 240 242	-168703076616
SPT(16)	2377679731824481453	0 6 10 36 40 70 90 120 124 154 174 204 208 234 238 244	-162450132664
STPT(10)	2377679758983974969	0 2 18 20 30 32 42 44 60 62	-135290639148
STPT(10)	2377679791514149931	0 2 6 8 48 50 90 92 96 98	-102760464186
SPT(16)	2377680323099104627	0 10 24 36 84 90 102 160 186 244 256 262 310 322 336 346	428824490510
SPT(16)	2377680481154409481	0 36 42 46 52 70 96 100 108 112 138 156 162 166 172 208	586879795364
SPT(16)	2377680789534988471	0 6 30 66 70 102 162 186 202 226 286 318 322 358 382 388	895260374354
SPT(16)	2377680896182283101	0 42 72 76 90 126 130 138 160 168 172 208 222 226 256 298	1001907668984
STPT(10)	2377681551087573527	0 2 30 32 42 44 54 56 84 86	1656812959410