Prime p₀= 2612144095238167277 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: herby44
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	2612142968382564233	0 50 68 74 78 110 114 116 288 290 294 326 330 336 354 404	-1126855603044
STPT(10)	2612143045259675309	0 2 48 50 90 92 132 134 180 182	-1049978491968
STPT(10)	2612143416104844239	0 2 48 50 60 62 72 74 120 122	-679133323038
STPT(10)	2612143710028050269	0 2 30 32 120 122 210 212 240 242	-385210117008
SPT(16)	2612143915334307649	0 42 54 78 172 180 198 232 270 304 322 330 424 448 460 502	-179903859628
SPT(16)	2612143941771538901	0 2 6 12 42 72 116 132 290 306 350 380 410 416 420 422	-153466628376
STPT(10)	2612144196276385319	0 2 132 134 150 152 168 170 300 302	101038218042
SPT(16)	2612144287130938633	0 10 16 30 34 78 84 90 184 190 196 240 244 258 264 274	191892771356
STPT(10)	2612144425430375159	0 2 78 80 120 122 162 164 240 242	330192207882
SPT(16)	2612145387176046419	0 14 32 42 54 62 92 120 122 150 180 188 200 210 228 242	1291937879142
STPT(10)	2612145485294149307	0 2 24 26 42 44 60 62 84 86	1390055982030