Prime p₀= 2123341147675596377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=80, k=10, 2 10 2 28 2

STPT(12)	2123340314594559869	0 2 72 74 132 134 180 182 240 242 312 314	-833081036508
STPT(10)	2123340533786575067	0 2 30 32 42 44 54 56 84 86	-613889021310
STPT(10)	2123340537815881199	0 2 12 14 30 32 48 50 60 62	-609859715178
STPT(10)	2123340692284707191	0 2 6 8 18 20 30 32 36 38	-455390889186
SPT(16)	2123340816570664849	0 22 28 34 58 78 132 160 162 190 244 264 288 294 300 322	-331104931528
SPT(16)	2123340931128210043	0 46 90 96 108 120 144 178 246 280 304 316 328 334 378 424	-216547386334
SPT(16)	2123341255759810531	0 70 90 112 118 142 168 172 198 202 228 252 258 280 300 370	108084214154
SPT(16)	2123341419494854511	0 12 18 36 50 56 96 98 120 122 162 168 182 200 206 218	271819258134
SPT(16)	2123341614534220147	0 6 34 96 184 196 210 216 280 286 300 312 400 462 490 496	466858623770
STPT(10)	2123341843536346187	0 2 30 32 42 44 54 56 84 86	695860749810
SPT(16)	2123341892348603617	0 10 40 70 82 130 132 172 210 250 252 300 312 342 372 382	744673007240