Prime p₀= 2549492488975488137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2549490070079328991	0 76 82 90 138 180 196 228 280 312 328 370 418 426 432 508	-2418896159146
STPT(10)	2549490460777307231	0 2 30 32 60 62 90 92 120 122	-2028198180906
STPT(10)	2549490920486590079	0 2 18 20 30 32 42 44 60 62	-1568488898058
STPT(10)	2549491214021306879	0 2 18 20 30 32 42 44 60 62	-1274954181258
SPT(16)	2549491229842168223	0 36 96 98 170 198 278 314 330 366 446 474 546 548 608 644	-1259133319914
SPT(16)	2549491912376594167	0 22 52 82 94 124 126 136 180 190 192 222 234 264 294 316	-576598893970
STPT(10)	2549493150052085219	0 2 48 50 90 92 132 134 180 182	661076597082
SPT(16)	2549493706949734477	0 10 34 72 100 126 130 132 214 216 220 246 274 312 336 346	1217974246340
SPT(16)	2549493752626521473	0 48 108 114 128 138 168 170 258 260 290 300 314 320 380 428	1263651033336
SPT(16)	2549493794646685273	0 24 58 66 70 88 100 118 186 204 216 234 238 246 280 304	1305671197136
TPT(14)	2549494237192455611	0 2 36 38 60 62 90 92 156 158 216 218 240 242	1748216967474