Prime p₀= 2896587983380847051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2896586543355037367	0 14 20 24 42 80 90 102 164 176 186 224 242 246 252 266	-1440025809684
TPT(14)	2896586620767095801	0 2 138 140 156 158 228 230 306 308 318 320 336 338	-1362613751250
STPT(10)	2896586751121203527	0 2 72 74 102 104 132 134 204 206	-1232259643524
STPT(10)	2896586987629755359	0 2 30 32 60 62 90 92 120 122	-995751091692
STPT(10)	2896587014244908351	0 2 6 8 48 50 90 92 96 98	-969135938700
TPT(14)	2896587663041417549	0 2 12 14 78 80 120 122 180 182 198 200 240 242	-320339429502
SPT(16)	2896588570031926849	0 24 34 78 114 118 120 184 204 268 270 274 310 354 364 388	586651079798
SPT(16)	2896588948699116691	0 12 70 126 172 192 202 216 256 270 280 300 346 402 460 472	965318269640
SPT(16)	2896589093879994859	0 42 52 64 142 154 210 220 222 232 288 300 378 390 400 442	1110499147808
SPT(16)	2896589231435480237	0 2 56 60 72 96 150 186 206 242 296 320 332 336 390 392	1248054633186
STPT(10)	2896589638519358669	0 2 18 20 30 32 42 44 60 62	1655138511618