Prime p₀= 2777729821434573461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 46 2

STPT(10)	2777729033615708111	0 2 36 38 78 80 120 122 156 158	-787818865350
STPT(12)	2777729190587890529	0 2 12 14 90 92 132 134 210 212 222 224	-630846682932
SPT(16)	2777729452952976437	0 6 44 60 132 144 146 164 192 210 212 224 296 312 350 356	-368481597024
STPT(12)	2777729525665381589	0 2 12 14 42 44 78 80 108 110 120 122	-295769191872
STPT(10)	2777729678586968681	0 2 36 38 78 80 120 122 156 158	-142847604780
SPT(16)	2777729695024587383	0 36 78 90 120 126 138 168 218 248 260 266 296 308 350 386	-126409986078
STPT(10)	2777729888277867737	0 2 30 32 42 44 54 56 84 86	66843294276
SPT(16)	2777730111956415809	0 42 90 98 102 110 134 140 222 228 252 260 264 272 320 362	290521842348
STPT(10)	2777730501929880221	0 2 6 8 48 50 90 92 96 98	680495306760
SPT(16)	2777730557232120097	0 70 72 90 174 192 196 216 220 240 244 262 346 364 366 436	735797546636
STPT(10)	2777730739305298277	0 2 12 14 72 74 132 134 144 146	917870724816