Prime p₀= 2565329240599309799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2565328034155281977	0 2 14 50 54 74 126 134 162 170 222 242 246 282 294 296	-1206444027822
SPT(16)	2565328133576036753	0 30 56 68 96 114 224 228 236 240 350 368 396 408 434 464	-1107023273046
STPT(10)	2565328249233343409	0 2 12 14 30 32 48 50 60 62	-991365966390
SPT(16)	2565328443126495691	0 28 108 112 130 142 166 198 250 282 306 318 336 340 420 448	-797472814108
SPT(16)	2565328931853298159	0 54 70 72 94 108 118 138 154 174 184 198 220 222 238 292	-308746011640
SPT(16)	2565329092072108541	0 20 32 90 98 132 170 180 230 240 278 312 320 378 390 410	-148527201258
STPT(10)	2565329412245705849	0 2 78 80 120 122 162 164 240 242	171646396050
STPT(10)	2565329557569010751	0 2 30 32 78 80 126 128 156 158	316969700952
STPT(10)	2565329606893035077	0 2 12 14 132 134 252 254 264 266	366293725278
SPT(16)	2565329659873793203	0 6 46 136 178 186 208 270 286 348 370 378 420 510 550 556	419274483404
STPT(10)	2565330485834196257	0 2 60 62 102 104 144 146 204 206	1245234886458