Prime p₀= 812459132583039839 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: marsinph
db: batch=73, k=10, 2 16 2 10 2

STPT(10)	812457116204185757	0 2 30 32 42 44 54 56 84 86	-2016378854082
STPT(10)	812458291867092917	0 2 54 56 72 74 90 92 144 146	-840715946922
STPT(10)	812458362853764839	0 2 42 44 60 62 78 80 120 122	-769729275000
SPT(16)	812458548194970353	0 6 26 84 140 174 176 188 216 228 230 264 320 378 398 404	-584388069486
SPT(16)	812458664032238039	0 12 20 38 78 92 98 104 138 144 150 164 204 222 230 242	-468550801800
SPT(16)	812458779213648689	0 30 62 80 84 92 122 150 152 180 210 218 222 240 272 302	-353369391150
SPT(16)	812459143284165187	0 10 30 42 66 72 130 144 262 276 334 340 364 376 396 406	10701125348
STPT(10)	812459354918687339	0 2 48 50 90 92 132 134 180 182	222335647500
SPT(16)	812459542330784659	0 22 28 90 100 132 142 150 160 168 178 210 220 282 288 310	409747744820
TPT(14)	812459692396362509	0 2 102 104 228 230 288 290 312 314 330 332 492 494	559813322670
SPT(16)	812460023323944067	0 22 64 102 120 150 160 202 204 246 256 286 304 342 384 406	890740904228