Prime p₀= 1062904135776686297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Theadalus
db: batch=76, k=10, 2 40 2 88 2

SPT(16)	1062902813699225753	0 8 14 24 50 80 86 114 170 198 204 234 260 270 276 284	-1322077460544
TPT(14)	1062902838014788259	0 2 12 14 108 110 360 362 438 440 450 452 462 464	-1297761898038
SPT(16)	1062903054723411487	0 22 76 120 130 172 186 280 306 400 414 456 466 510 564 586	-1081053274810
STPT(10)	1062903298090681379	0 2 12 14 90 92 168 170 180 182	-837686004918
STPT(10)	1062903695106244037	0 2 12 14 72 74 132 134 144 146	-440670442260
SPT(16)	1062903718304315411	0 2 12 90 110 116 132 156 182 206 222 228 248 326 336 338	-417472370886
STPT(10)	1062904188877059671	0 2 6 8 18 20 30 32 36 38	53100373374
SPT(16)	1062904750703618497	0 6 24 36 52 70 124 142 174 192 246 264 280 292 310 316	614926932200
SPT(16)	1062905105529185999	0 20 42 48 72 90 98 108 194 204 212 230 254 260 282 302	969752499702
STPT(10)	1062905105985728189	0 2 30 32 60 62 90 92 120 122	970209041892
SPT(16)	1062905326516226111	0 2 32 42 48 80 98 120 128 150 168 200 206 216 246 248	1190739539814