Prime p₀= 2078771782154305487 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2078770310679218693	0 14 20 56 66 80 138 140 174 176 234 248 258 294 300 314	-1471475086794
STPT(10)	2078770362507583499	0 2 18 20 30 32 42 44 60 62	-1419646721988
SPT(16)	2078770698396142409	0 8 14 18 38 42 72 114 128 170 200 204 224 228 234 242	-1083758163078
SPT(16)	2078770730497351507	0 12 22 24 52 60 94 112 264 282 316 324 352 354 364 376	-1051656953980
SPT(16)	2078771354852131591	0 18 28 72 88 106 142 148 150 156 192 210 226 270 280 298	-427302173896
SPT(16)	2078771386665991907	0 24 66 84 152 162 200 204 242 246 284 294 362 380 422 446	-395488313580
STPT(10)	2078771962258298537	0 2 24 26 42 44 60 62 84 86	180103993050
SPT(16)	2078772219320364937	0 24 36 66 144 150 180 196 204 220 250 256 334 364 376 400	437166059450
SPT(16)	2078772321012413069	0 8 24 44 50 84 150 162 200 212 278 312 318 338 354 362	538858107582
STPT(10)	2078772335309640791	0 2 6 8 18 20 30 32 36 38	553155335304
STPT(10)	2078772436386845999	0 2 48 50 60 62 72 74 120 122	654232540512