Prime p₀= 2681445152594568299 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2681443791280281827	0 42 60 74 86 90 126 192 224 290 326 330 342 356 374 416	-1361314286472
STPT(10)	2681443825033351907	0 2 42 44 72 74 102 104 144 146	-1327561216392
SPT(16)	2681444385991766987	0 12 56 86 92 146 180 182 210 212 246 300 306 336 380 392	-766602801312
SPT(16)	2681444622940297441	0 30 40 42 112 132 156 190 258 292 316 336 406 408 418 448	-529654270858
SPT(16)	2681444735725979411	0 48 60 62 108 126 128 188 210 270 272 290 336 338 350 398	-416868588888
SPT(16)	2681444963588558927	0 30 56 86 132 134 140 174 182 216 222 224 270 300 326 356	-189006009372
SPT(20)	2681445245884818619	0 10 30 70 100 120 138 148 162 180 292 310 324 334 352 372 402 442 462 472	93290250320
SPT(16)	2681445305131562791	0 22 42 66 72 108 126 132 136 142 160 196 202 226 246 268	152536994492
SPT(16)	2681445452125963427	0 24 84 102 120 192 210 270 314 374 392 464 482 500 560 584	299531395128
SPT(16)	2681445491504536703	0 48 66 74 84 108 126 174 200 248 266 290 300 308 326 374	338909968404
STPT(10)	2681446172895660251	0 2 6 8 48 50 90 92 96 98	1020301091952