Prime p₀= 1040746892829499151 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-2W]Kurzer
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1040745502160575403	0 38 48 54 56 66 126 150 194 218 278 288 290 296 306 344	-1390668923748
TPT(14)	1040745559169726717	0 2 72 74 150 152 222 224 240 242 264 266 270 272	-1333659772434
SPT(16)	1040745755644988161	0 6 10 40 42 66 126 130 132 136 196 220 222 252 256 262	-1137184510990
SPT(16)	1040746023454816633	0 16 34 48 126 138 160 168 196 204 226 238 316 330 348 364	-869374682518
STPT(10)	1040746139474285807	0 2 12 14 132 134 252 254 264 266	-753355213344
STPT(10)	1040746412039572499	0 2 18 20 30 32 42 44 60 62	-480789926652
SPT(16)	1040747093219582449	0 22 24 78 100 108 130 142 150 162 184 192 214 268 270 292	200390083298
SPT(16)	1040747360183560411	0 18 46 78 100 142 226 282 286 342 426 468 490 522 550 568	467354061260
SPT(16)	1040747491823001247	0 54 70 82 90 94 112 120 124 132 150 154 162 174 190 244	598993502096
STPT(10)	1040747497479964031	0 2 6 8 18 20 30 32 36 38	604650464880
SPT(18)	1040747554282256897	0 26 30 42 86 126 156 216 224 282 290 350 380 420 464 476 480 506	661452757746