Prime p₀= 1300814746611144431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mikey
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1300813582656176159	0 2 18 20 30 32 42 44 60 62	-1163954968272
STPT(10)	1300813787192542289	0 2 18 20 60 62 102 104 120 122	-959418602142
SPT(16)	1300814160356310269	0 42 60 62 90 102 132 168 182 218 248 260 288 290 308 350	-586254834162
STPT(10)	1300814442767166947	0 2 42 44 72 74 102 104 144 146	-303843977484
STPT(10)	1300814617268267999	0 2 18 20 30 32 42 44 60 62	-129342876432
SPT(16)	1300814712770580853	0 6 16 28 58 60 96 126 130 160 196 198 228 240 250 256	-33840563578
TPT(16)	1300815026182455479	0 2 48 50 90 92 132 134 150 152 168 170 192 194 288 290	279571311048
SPT(16)	1300815599644006913	0 8 18 26 54 56 108 120 164 176 228 230 258 266 276 284	853032862482
SPT(16)	1300815779045607199	0 12 18 22 78 82 88 90 160 162 168 172 228 232 238 250	1032434462768
SPT(16)	1300816034684460589	0 28 40 70 72 78 84 162 340 418 424 430 432 462 474 502	1288073316158
STPT(10)	1300816059175768229	0 2 48 50 90 92 132 134 180 182	1312564623798