Prime p₀= 2340579774189561647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2340577161128423489	0 2 18 20 30 32 42 44 60 62	-2613061138158
STPT(10)	2340577358892183767	0 2 42 44 72 74 102 104 144 146	-2415297377880
SPT(16)	2340577623669878399	0 14 42 48 104 108 144 162 170 188 224 228 284 290 318 332	-2150519683248
TPT(14)	2340577746782389181	0 2 6 8 138 140 156 158 168 170 198 200 240 242	-2027407172466
TPT(14)	2340578631220915199	0 2 30 32 90 92 132 134 162 164 210 212 270 272	-1142968646448
STPT(10)	2340579292369447247	0 2 24 26 42 44 60 62 84 86	-481820114400
SPT(16)	2340579929892246701	0 18 26 72 102 110 156 306 422 572 618 626 656 702 710 728	155702685054
SPT(16)	2340579999251562053	0 14 96 108 128 140 164 188 216 240 264 276 296 308 390 404	225062000406
SPT(16)	2340580926045265909	0 42 64 88 90 130 148 150 172 174 192 232 234 258 280 322	1151855704262
SPT(16)	2340580940313543091	0 6 36 52 120 136 162 178 180 196 222 238 306 322 352 358	1166123981444
SPT(16)	2340581069389537157	0 24 60 66 72 74 86 96 140 150 162 164 170 176 212 236	1295199975510