Prime p₀= 2290479301014515789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2290478281184092031	0 6 18 60 110 116 120 140 216 236 240 246 296 338 350 356	-1019830423758
STPT(10)	2290478400869483597	0 2 84 86 132 134 180 182 264 266	-900145032192
TPT(14)	2290478546897995451	0 2 30 32 60 62 96 98 126 128 186 188 228 230	-754116520338
STPT(10)	2290478616206238509	0 2 42 44 60 62 78 80 120 122	-684808277280
SPT(16)	2290479017656686179	0 12 30 68 72 92 122 164 198 240 270 290 294 332 350 362	-283357829610
SPT(16)	2290479294694950169	0 28 88 108 118 160 174 210 262 298 312 354 364 384 444 472	-6319565620
STPT(12)	2290479447694232609	0 2 12 14 42 44 48 50 78 80 90 92	146679716820
STPT(10)	2290479725009540411	0 2 6 8 48 50 90 92 96 98	423995024622
SPT(16)	2290480042047063253	0 4 10 34 48 76 78 148 156 226 228 256 270 294 300 304	741032547464
TPT(14)	2290480049314500467	0 2 30 32 72 74 144 146 240 242 270 272 282 284	748299984678
STPT(10)	2290480272369955847	0 2 30 32 42 44 54 56 84 86	971355440058