Prime p₀= 1245556329229200797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1245555201927070493	0 18 30 50 116 128 140 156 200 216 228 240 306 326 338 356	-1127302130304
STPT(10)	1245555677505785417	0 2 30 32 72 74 114 116 144 146	-651723415380
SPT(16)	1245555872711378911	0 60 72 82 90 96 118 148 180 210 232 238 246 256 268 328	-456517821886
STPT(10)	1245555903334623911	0 2 30 32 60 62 90 92 120 122	-425894576886
STPT(10)	1245556204326051419	0 2 42 44 90 92 138 140 180 182	-124903149378
STPT(10)	1245556230123975167	0 2 30 32 72 74 114 116 144 146	-99105225630
STPT(10)	1245556523102690969	0 2 42 44 60 62 78 80 120 122	193873490172
STPT(10)	1245556632825908729	0 2 18 20 30 32 42 44 60 62	303596707932
STPT(10)	1245556723101645221	0 2 36 38 78 80 120 122 156 158	393872444424
STPT(10)	1245556827605389877	0 2 30 32 42 44 54 56 84 86	498376189080
STPT(10)	1245556960600975571	0 2 6 8 48 50 90 92 96 98	631371774774