Prime p₀= 779701464752398607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: schoussi
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	779700286838541209	0 8 18 32 60 92 98 198 224 324 330 362 390 404 414 422	-1177913857398
SPT(16)	779700289589827843	0 54 76 84 94 130 136 150 160 174 180 216 226 234 256 310	-1175162570764
SPT(16)	779700407779074317	0 12 42 50 56 60 74 92 144 162 176 180 186 194 224 236	-1056973324290
STPT(10)	779700780149010821	0 2 6 8 48 50 90 92 96 98	-684603387786
SPT(16)	779701152323144473	0 4 10 24 88 94 148 204 244 300 354 360 424 438 444 448	-312429254134
STPT(10)	779701390666703777	0 2 24 26 42 44 60 62 84 86	-74085694830
STPT(10)	779701644163570031	0 2 36 38 78 80 120 122 156 158	179411171424
SPT(16)	779701761004622693	0 6 14 20 26 54 56 74 90 108 110 138 144 150 158 164	296252224086
STPT(10)	779701991149058441	0 2 36 38 78 80 120 122 156 158	526396659834
SPT(16)	779702028332986279	0 22 34 58 100 124 148 160 162 174 198 222 264 288 300 322	563580587672
SPT(16)	779702178784659041	0 36 42 86 120 126 132 140 162 170 176 182 216 260 266 302	714032260434