Prime p₀= 2250690510731132147 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2250690207142120531	0 30 46 88 106 118 142 162 166 186 210 222 240 282 298 328	-303589011616
SPT(16)	2250690307011950189	0 12 14 38 68 84 150 170 222 242 308 324 354 378 380 392	-203719181958
SPT(16)	2250690312514269877	0 10 130 136 172 186 210 216 220 226 250 264 300 306 426 436	-198216862270
STPT(10)	2250690317506887857	0 2 42 44 72 74 102 104 144 146	-193224244290
TPT(14)	2250690476715918311	0 2 6 8 48 50 60 62 96 98 198 200 270 272	-34015213836
STPT(10)	2250690478158056507	0 2 60 62 72 74 84 86 144 146	-32573075640
SPT(16)	2250690553925673347	0 14 26 42 50 56 80 152 204 276 300 306 314 330 342 356	43194541200
SPT(16)	2250690956564994637	0 12 30 40 42 52 64 66 70 72 84 94 96 106 124 136	445833862490
STPT(10)	2250691146435669071	0 2 36 38 78 80 120 122 156 158	635704536924
SPT(16)	2250691166043857473	0 4 10 60 70 88 94 138 226 270 276 294 304 354 360 364	655312725326
SPT(16)	2250691167005552507	0 36 54 66 90 134 150 152 174 176 192 236 260 272 290 326	656274420360