Prime p₀= 2307412401563942327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: Alnitak2019
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2307411082964562023	0 38 150 164 168 180 218 224 264 270 308 320 324 338 450 488	-1318599380304
SPT(16)	2307411155656050319	0 28 30 58 84 100 108 120 262 274 282 298 324 352 354 382	-1245907892008
SPT(16)	2307411246637085311	0 10 28 52 60 88 142 162 268 288 342 370 378 402 420 430	-1154926857016
SPT(16)	2307411343095379471	0 10 16 18 52 60 108 112 126 130 178 186 220 222 228 238	-1058468562856
SPT(16)	2307411426668978041	0 46 48 66 88 100 130 136 192 198 228 240 262 280 282 328	-974894964286
STPT(10)	2307411618426292877	0 2 42 44 72 74 102 104 144 146	-783137649450
SPT(16)	2307412883282266997	0 6 20 26 54 56 74 96 110 132 150 152 180 186 200 206	481718324670
STPT(10)	2307412922224072259	0 2 18 20 60 62 102 104 120 122	520660129932
STPT(10)	2307413085832686449	0 2 48 50 60 62 72 74 120 122	684268744122
SPT(16)	2307413251519678363	0 46 48 78 84 90 124 154 180 210 244 250 256 286 288 334	849955736036
STPT(10)	2307413589801230087	0 2 90 92 102 104 114 116 204 206	1188237287760