Prime p₀= 2681447464508646017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2681446249254029419	0 24 42 52 88 94 172 208 324 360 438 444 480 490 508 532	-1215254616598
SPT(16)	2681446260702483401	0 8 12 30 66 72 78 98 180 200 206 212 248 266 270 278	-1203806162616
STPT(10)	2681446309954352849	0 2 18 20 30 32 42 44 60 62	-1154554293168
SPT(16)	2681446361220178969	0 4 28 72 82 88 138 154 228 244 294 300 310 354 378 382	-1103288467048
SPT(16)	2681446473491800247	0 50 60 84 114 120 140 150 224 234 254 260 290 314 324 374	-991016845770
SPT(16)	2681446609122378901	0 66 88 126 180 196 198 220 258 280 282 298 352 390 412 478	-855386267116
SPT(16)	2681447553971243053	0 34 54 58 78 100 118 124 234 240 258 280 300 304 324 358	89462597036
STPT(10)	2681447572176242171	0 2 30 32 78 80 126 128 156 158	107667596154
SPT(16)	2681447748608607983	0 78 86 96 114 116 134 156 158 180 198 200 218 228 236 314	284099961966
SPT(16)	2681447775904473181	0 40 46 78 106 118 130 138 190 198 210 222 250 282 288 328	311395827164
STPT(10)	2681448635946336041	0 2 36 38 78 80 120 122 156 158	1171437690024