Prime p₀= 2152438384849868411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Xenon
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2152437561873142801	0 10 70 76 78 96 108 126 130 148 160 178 180 186 246 256	-822976725610
STPT(10)	2152437651502895291	0 2 66 68 108 110 150 152 216 218	-733346973120
SPT(16)	2152437731288752211	0 2 62 66 72 80 132 140 162 170 222 230 236 240 300 302	-653561116200
SPT(16)	2152438051490357383	0 48 126 156 180 198 240 258 316 334 376 394 418 448 526 574	-333359511028
STPT(10)	2152438311616027049	0 2 18 20 30 32 42 44 60 62	-73233841362
STPT(10)	2152438377338328347	0 2 30 32 72 74 114 116 144 146	-7511540064
STPT(10)	2152438696301059511	0 2 36 38 78 80 120 122 156 158	311451191100
SPT(16)	2152438845154027231	0 6 28 36 48 58 118 138 268 288 348 358 370 378 400 406	460304158820
SPT(16)	2152438884258531541	0 10 78 100 106 148 150 186 232 268 270 312 318 340 408 418	499408663130
SPT(16)	2152439005370428387	0 6 46 60 70 112 126 142 144 160 174 216 226 240 280 286	620520559976
SPT(16)	2152439098281023029	0 48 60 78 100 108 114 130 132 148 154 162 184 202 214 262	713431154618