Prime p₀= 2577729881246599769 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2577728706419571011	0 26 66 90 110 126 140 156 182 198 212 228 248 272 312 338	-1174827028758
STPT(10)	2577728854314435947	0 2 30 32 72 74 114 116 144 146	-1026932163822
SPT(16)	2577729181110858737	0 26 32 36 56 72 74 84 212 222 224 240 260 264 270 296	-700135741032
SPT(16)	2577729443834037547	0 6 22 42 96 132 186 190 192 196 250 286 340 360 376 382	-437412562222
SPT(16)	2577729630406514897	0 14 42 60 66 74 104 122 144 162 192 200 206 224 252 266	-250840084872
SPT(16)	2577729674415090541	0 36 78 106 142 168 208 210 238 240 280 306 342 370 412 448	-206831509228
SPT(16)	2577730236671376679	0 48 58 120 132 142 198 232 300 334 390 400 412 474 484 532	355424776910
STPT(10)	2577730271805015797	0 2 30 32 42 44 54 56 84 86	390558416028
STPT(10)	2577730515337000337	0 2 30 32 42 44 54 56 84 86	634090400568
SPT(16)	2577730883770317523	0 6 10 24 30 40 54 76 114 136 150 160 166 180 184 190	1002523717754
STPT(10)	2577731031327924089	0 2 48 50 60 62 72 74 120 122	1150081324320