Prime p₀= 2306751665465309927 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: vinn@[CNT]
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2306750829672321247	0 42 52 150 160 172 196 202 204 210 234 246 256 354 364 406	-835792988680
SPT(16)	2306750862098255357	0 2 26 56 80 110 114 122 144 152 156 186 210 240 264 266	-803367054570
SPT(16)	2306750891332081577	0 12 56 62 104 110 122 164 192 234 246 252 294 300 344 356	-774133228350
STPT(10)	2306750934478914059	0 2 42 44 90 92 138 140 180 182	-730986395868
SPT(16)	2306750981733793141	0 10 22 30 70 82 88 96 112 120 126 138 178 186 198 208	-683731516786
SPT(16)	2306751501376913957	0 72 86 114 144 164 174 234 332 392 402 422 452 480 494 566	-164088395970
STPT(10)	2306752085309162471	0 2 36 38 78 80 120 122 156 158	419843852544
STPT(10)	2306752403815345271	0 2 30 32 60 62 90 92 120 122	738350035344
STPT(10)	2306752408480579859	0 2 48 50 60 62 72 74 120 122	743015269932
STPT(10)	2306752428857014277	0 2 60 62 72 74 84 86 144 146	763391704350
SPT(16)	2306752543835151019	0 28 48 82 150 192 208 214 258 264 280 322 390 424 444 472	878369841092