Prime p₀= 2396316408438780827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JonS
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2396314860915518897	0 2 54 56 72 74 90 92 144 146	-1547523261930
SPT(16)	2396314945194382967	0 32 62 66 80 86 140 144 152 156 210 216 230 234 264 296	-1463244397860
STPT(10)	2396315534375986367	0 2 42 44 72 74 102 104 144 146	-874062794460
SPT(16)	2396315677085399761	0 16 58 60 112 118 196 226 282 312 390 396 448 450 492 508	-731353381066
SPT(16)	2396315873264468803	0 30 36 40 48 88 114 120 124 130 156 196 204 208 214 244	-535174312024
SPT(16)	2396316359895603283	0 10 24 48 120 136 154 168 196 210 228 244 316 340 354 364	-48543177544
SPT(16)	2396316861865974347	0 2 26 32 66 84 102 110 156 164 182 200 234 240 264 266	453427193520
STPT(10)	2396316963332427167	0 2 42 44 132 134 222 224 264 266	554893646340
STPT(10)	2396317010166410027	0 2 54 56 72 74 90 92 144 146	601727629200
STPT(10)	2396317017536219147	0 2 30 32 42 44 54 56 84 86	609097438320
STPT(10)	2396317228425327209	0 2 30 32 60 62 90 92 120 122	819986546382