Prime p₀= 779737147093005767 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: zzuupp
db: batch=73, k=10, 2 10 2 28 2

STPT(10)	779736079214839889	0 2 18 20 30 32 42 44 60 62	-1067878165878
SPT(16)	779736132292860143	0 24 38 44 56 60 66 78 86 98 104 108 120 126 140 164	-1014800145624
SPT(16)	779736132799823701	0 12 22 40 46 52 60 82 90 112 120 126 132 150 160 172	-1014293182066
STPT(10)	779736259758601499	0 2 48 50 90 92 132 134 180 182	-887334404268
SPT(16)	779736501983722007	0 2 32 50 72 96 102 110 162 170 176 200 222 240 270 272	-645109283760
TPT(14)	779736746105441867	0 2 12 14 30 32 54 56 120 122 150 152 162 164	-400987563900
STPT(10)	779737385591511629	0 2 18 20 60 62 102 104 120 122	238498505862
STPT(10)	779737845872309789	0 2 12 14 90 92 168 170 180 182	698779304022
TPT(14)	779737903019212517	0 2 30 32 42 44 90 92 132 134 204 206 210 212	755926206750
SPT(16)	779738142380412317	0 56 60 104 110 114 116 126 230 240 242 246 252 296 300 356	995287406550
SPT(16)	779738389989882031	0 18 22 52 88 100 108 142 156 190 198 210 246 276 280 298	1242896876264