Prime p₀= 2577546776994968627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2577545664273251701	0 66 72 78 120 162 168 190 228 250 256 298 340 346 352 418	-1112721716926
STPT(10)	2577545810663909609	0 2 18 20 30 32 42 44 60 62	-966331059018
STPT(10)	2577546372565069229	0 2 18 20 30 32 42 44 60 62	-404429899398
SPT(16)	2577546424208446583	0 14 54 68 90 114 116 146 168 198 200 224 246 260 300 314	-352786522044
STPT(10)	2577546510753118319	0 2 18 20 30 32 42 44 60 62	-266241850308
STPT(10)	2577546669031072787	0 2 42 44 72 74 102 104 144 146	-107963895840
STPT(10)	2577546844096055267	0 2 42 44 72 74 102 104 144 146	67101086640
STPT(10)	2577547034610080051	0 2 78 80 138 140 198 200 276 278	257615111424
TPT(14)	2577547311882812921	0 2 66 68 78 80 120 122 150 152 210 212 306 308	534887844294
STPT(10)	2577547438386700691	0 2 6 8 18 20 30 32 36 38	661391732064
SPT(16)	2577547441165458217	0 10 16 24 40 52 70 96 100 126 144 156 172 180 186 196	664170489590