Prime p₀= 810128890296043847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: schoussi
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	810127095568649029	0 28 40 52 58 84 100 120 142 162 178 204 210 222 234 262	-1794727394818
TPT(14)	810127227377503559	0 2 30 32 42 44 60 62 138 140 168 170 192 194	-1662918540288
SPT(16)	810127598406807211	0 12 40 42 46 82 88 108 130 150 156 192 196 198 226 238	-1291889236636
STPT(10)	810127809347121449	0 2 30 32 60 62 90 92 120 122	-1080948922398
STPT(10)	810128628402174407	0 2 30 32 42 44 54 56 84 86	-261893869440
SPT(16)	810128699224437713	0 14 74 120 126 170 198 200 264 266 294 338 344 390 450 464	-191071606134
SPT(16)	810129523387568281	0 16 22 42 66 72 156 190 192 226 310 316 340 360 366 382	633091524434
STPT(10)	810129550400068889	0 2 12 14 90 92 168 170 180 182	660104025042
STPT(10)	810129611572433819	0 2 42 44 60 62 78 80 120 122	721276389972
SPT(16)	810129612678527131	0 30 46 60 78 126 132 162 196 226 232 280 298 312 328 358	722382483284
SPT(16)	810130238498853427	0 46 52 72 94 102 106 136 330 360 364 372 394 414 420 466	1348202809580