Prime p₀= 1298929256173031381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 10 2 10 2 94 2 (?)
a_n: 0 2 96 98 108 110 120 122 216 218
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: 218
Found by: gemini8
db: batch=77, k=10, 2 94 2 10 2

SPT(16)	1298927759515708601	0 38 60 68 80 102 122 182 198 258 278 300 312 320 342 380	-1496657322780
STPT(10)	1298927864884950491	0 2 36 38 78 80 120 122 156 158	-1391288080890
SPT(16)	1298928118535051267	0 20 42 92 120 156 162 174 182 194 200 236 264 314 336 356	-1137637980114
STPT(10)	1298928600932071997	0 2 30 32 42 44 54 56 84 86	-655240959384
SPT(16)	1298928710253090143	0 6 54 80 96 168 170 198 206 234 236 308 324 350 398 404	-545919941238
STPT(10)	1298928997312319201	0 2 6 8 48 50 90 92 96 98	-258860712180
SPT(16)	1298929394959013179	0 10 18 64 108 148 168 204 238 274 294 334 378 424 432 442	138785981798
SPT(16)	1298929418240745619	0 12 30 82 94 108 124 142 150 168 184 198 210 262 280 292	162067714238
TPT(14)	1298929483269452429	0 2 48 50 108 110 150 152 300 302 402 404 420 422	227096421048
STPT(10)	1298929555039017227	0 2 30 32 42 44 54 56 84 86	298865985846
SPT(16)	1298929592360875039	0 12 22 78 82 94 180 190 222 232 318 330 334 390 400 412	336187843658