Prime p₀= 2886117134823489779 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: Landjunge
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2886115729539297053	0 38 74 78 108 116 128 140 264 276 288 296 326 330 366 404	-1405284192726
TPT(16)	2886115879855768139	0 2 72 74 150 152 312 314 318 320 348 350 360 362 390 392	-1254967721640
TPT(14)	2886116204487013259	0 2 60 62 150 152 168 170 240 242 282 284 462 464	-930336476520
SPT(16)	2886116379223051363	0 46 78 114 124 156 184 190 264 270 298 330 340 376 408 454	-755600438416
SPT(16)	2886116833287841723	0 48 70 78 94 100 124 126 148 150 174 180 196 204 226 274	-301535648056
SPT(16)	2886116881046229559	0 10 70 102 112 124 154 270 274 390 420 432 442 474 534 544	-253777260220
SPT(16)	2886117612653646577	0 16 24 64 70 76 84 180 220 316 324 330 336 376 384 400	477830156798
TPT(14)	2886117630762834887	0 2 12 14 84 86 180 182 222 224 312 314 354 356	495939345108
TPT(14)	2886117741798107879	0 2 12 14 18 20 30 32 192 194 210 212 228 230	606974618100
SPT(16)	2886117927460730537	0 12 26 60 84 156 170 186 260 276 290 362 386 420 434 446	792637240758
STPT(10)	2886118394648563901	0 2 30 32 78 80 126 128 156 158	1259825074122