Prime p₀= 2524592132540118629 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: fake
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2524591054359382399	0 28 40 42 102 172 178 240 250 312 318 388 448 450 462 490	-1078180736230
TPT(14)	2524591306795503707	0 2 84 86 150 152 192 194 210 212 222 224 234 236	-825744614922
STPT(10)	2524591716221919599	0 2 48 50 90 92 132 134 180 182	-416318199030
SPT(16)	2524591943377855249	0 10 40 54 82 84 100 114 178 192 208 210 238 252 282 292	-189162263380
STPT(10)	2524591966029134369	0 2 18 20 30 32 42 44 60 62	-166510984260
SPT(16)	2524592051199074953	0 28 40 48 78 88 120 144 154 178 210 220 250 258 270 298	-81341043676
SPT(16)	2524592153486185633	0 34 48 78 88 120 144 148 186 190 214 246 256 286 300 334	20946067004
SPT(16)	2524592348683355939	0 18 44 80 102 120 132 162 170 200 212 230 252 288 314 332	216143237310
STPT(10)	2524592737617729587	0 2 54 56 72 74 90 92 144 146	605077610958
SPT(16)	2524592801796182069	0 2 44 54 72 84 98 122 210 234 248 260 278 288 330 332	669256063440
STPT(10)	2524592826158184167	0 2 12 14 42 44 72 74 84 86	693618065538