Prime p₀= 1377294279488862347 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: emoga
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1377292782267127699	0 10 30 64 72 84 120 138 154 172 208 220 228 262 282 292	-1497221734648
STPT(10)	1377292870534723169	0 2 18 20 30 32 42 44 60 62	-1408954139178
SPT(16)	1377292874523731401	0 10 78 106 120 132 136 162 166 192 196 208 222 250 318 328	-1404965130946
STPT(12)	1377293270918264639	0 2 18 20 42 44 78 80 102 104 120 122	-1008570597708
SPT(16)	1377293944767800897	0 6 56 60 66 74 120 144 182 206 252 260 266 270 320 326	-334721061450
SPT(16)	1377294171949113359	0 12 32 50 74 102 110 134 138 162 170 198 222 240 260 272	-107539748988
SPT(16)	1377294728121187409	0 24 80 92 98 108 122 150 182 210 224 234 240 252 308 332	448632325062
TPT(14)	1377294753056339099	0 2 12 14 48 50 90 92 162 164 168 170 318 320	473567476752
STPT(10)	1377294934140084899	0 2 18 20 30 32 42 44 60 62	654651222552
STPT(10)	1377295048727923847	0 2 30 32 42 44 54 56 84 86	769239061500
SPT(16)	1377295401076372429	0 4 22 58 72 94 120 142 150 172 198 220 234 270 288 292	1121587510082