Prime p₀= 2134629661056310469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2134628483435390797	0 30 72 96 114 150 162 184 192 214 226 262 280 304 346 376	-1177620919672
STPT(10)	2134628560278896567	0 2 30 32 42 44 54 56 84 86	-1100777413902
SPT(16)	2134628978816616907	0 60 66 70 72 94 106 132 214 240 252 274 276 280 286 346	-682239693562
STPT(10)	2134629265096897571	0 2 36 38 78 80 120 122 156 158	-395959412898
STPT(10)	2134629275142078887	0 2 30 32 42 44 54 56 84 86	-385914231582
SPT(16)	2134629387129282991	0 58 82 126 180 198 226 238 330 342 370 388 442 486 510 568	-273927027478
SPT(16)	2134629915023964671	0 48 80 126 132 158 188 258 260 330 360 386 392 438 470 518	253967654202
STPT(10)	2134630321532067767	0 2 90 92 102 104 114 116 204 206	660475757298
SPT(16)	2134630828301429737	0 34 42 70 90 100 142 154 180 192 234 244 264 292 300 334	1167245119268
SPT(16)	2134630925717319493	0 16 24 28 120 136 190 204 220 234 288 304 396 400 408 424	1264661009024
SPT(16)	2134630981812010379	0 18 32 48 54 62 90 120 122 152 180 188 194 210 224 242	1320755699910