Prime p₀= 2427810782776139807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: JayPi
db: batch=82, k=10, 2 52 2 16 2

SPT(16)	2427810198004442663	0 60 86 140 150 170 216 296 354 434 480 500 510 564 590 650	-584771697144
STPT(10)	2427810419470319699	0 2 12 14 30 32 48 50 60 62	-363305820108
SPT(13)	2427810457665208549	0 24 72 84 120 150 162 174 204 240 252 300 324	-325110931258
SPT(16)	2427810564703052539	0 24 30 70 72 90 124 138 154 168 202 220 222 262 268 292	-218073087268
SPT(16)	2427810724437795251	0 38 78 98 122 128 132 140 198 206 210 216 240 260 300 338	-58338344556
SPT(16)	2427810739362996077	0 6 26 44 54 84 104 132 164 192 212 242 252 270 290 296	-43413143730
STPT(10)	2427811194824875799	0 2 42 44 60 62 78 80 120 122	412048735992
SPT(16)	2427811701657854119	0 12 34 70 72 88 114 138 214 238 264 280 282 318 340 352	918881714312
SPT(16)	2427812240334848669	0 12 44 74 80 102 120 164 240 284 302 324 330 360 392 404	1457558708862
SPT(16)	2427813083061364553	0 14 24 78 86 120 168 218 276 326 374 408 416 470 480 494	2300285224746
TPT(14)	2427813103464486761	0 2 6 8 60 62 78 80 156 158 168 170 210 212	2320688346954