Prime p₀= 2327826375161578787 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: eclipse99
db: batch=81, k=10, 2 58 2 10 2

STPT(10)	2327824773928557677	0 2 42 44 72 74 102 104 144 146	-1601233021110
SPT(16)	2327825560939891073	0 138 146 168 176 188 206 246 248 288 306 318 326 348 356 494	-814221687714
SPT(16)	2327825769042515449	0 4 42 82 102 112 114 144 148 178 180 190 210 250 288 292	-606119063338
SPT(16)	2327825853947732617	0 70 90 96 124 156 180 202 204 226 250 282 310 316 336 406	-521213846170
SPT(16)	2327825968324762897	0 46 52 94 102 112 154 160 186 192 234 244 252 294 300 346	-406836815890
SPT(16)	2327826264138436493	0 20 38 48 90 110 126 134 150 158 174 194 236 246 264 284	-111023142294
SPT(16)	2327826447891251977	0 4 24 40 42 54 124 130 174 180 250 262 264 280 300 304	72729673190
SPT(16)	2327826745065321719	0 20 30 32 42 92 98 120 170 192 198 248 258 260 270 290	369903742932
SPT(16)	2327827145019737327	0 32 42 80 84 110 116 126 140 150 156 182 186 224 234 266	769858158540
SPT(16)	2327827354673996293	0 16 34 40 46 156 184 208 216 240 268 378 384 390 408 424	979512417506
SPT(16)	2327827455455583799	0 4 12 54 120 124 132 138 154 160 168 172 238 280 288 292	1080294005012