Prime p₀= 2327701523402114537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Landjunge
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2327699485115694967	0 12 70 72 96 114 120 186 250 316 322 340 364 366 424 436	-2038286419570
SPT(16)	2327700119444444351	0 8 26 38 68 78 96 110 216 230 248 258 288 300 318 326	-1403957670186
SPT(16)	2327700208052598451	0 28 36 42 66 78 88 106 132 150 160 172 196 202 210 238	-1315349516086
SPT(16)	2327700282207418427	0 14 44 80 84 102 114 134 150 170 182 200 204 240 270 284	-1241194696110
STPT(10)	2327701089393883961	0 2 6 8 18 20 30 32 36 38	-434008230576
SPT(16)	2327701282794071669	0 2 14 44 60 72 102 132 140 170 200 212 228 258 270 272	-240608042868
STPT(10)	2327701907023806491	0 2 6 8 48 50 90 92 96 98	383621691954
SPT(16)	2327701956274537873	0 16 34 46 64 76 78 84 220 226 228 240 258 270 288 304	432872423336
TPT(14)	2327702078584525457	0 2 12 14 150 152 180 182 402 404 504 506 570 572	555182410920
TPT(16)	2327702146174610141	0 2 30 32 60 62 156 158 198 200 228 230 276 278 336 338	622772495604
STPT(10)	2327703052450211879	0 2 18 20 60 62 102 104 120 122	1529048097342