Prime p₀= 1540038517062735509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: crashtech
db: batch=78, k=10, 2 76 2 40 2

SPT(16)	1540037279160734071	0 40 46 48 76 90 112 142 186 216 238 252 280 282 288 328	-1237902001438
SPT(16)	1540037712078109423	0 28 46 90 148 156 186 216 310 340 370 378 436 480 498 526	-804984626086
SPT(16)	1540038239008486669	0 12 18 78 118 162 190 222 238 270 298 342 382 442 448 460	-278054248840
SPT(16)	1540038334205554133	0 14 20 54 66 80 84 104 216 236 240 254 266 300 306 320	-182857181376
SPT(16)	1540038350744023531	0 10 36 66 76 88 102 112 126 136 150 162 172 202 228 238	-166318711978
TPT(14)	1540038448351020311	0 2 66 68 78 80 108 110 126 128 198 200 210 212	-68711715198
SPT(16)	1540039049749020377	0 6 56 60 62 110 144 152 174 182 216 264 266 270 320 326	532686284868
STPT(10)	1540039316089087901	0 2 6 8 48 50 90 92 96 98	799026352392
SPT(16)	1540039337330719483	0 46 48 58 88 100 114 118 126 130 144 156 186 196 198 244	820267983974
SPT(16)	1540039340606864059	0 54 70 100 198 204 232 240 322 330 358 364 462 492 508 562	823544128550
STPT(10)	1540039590687418649	0 2 12 14 90 92 168 170 180 182	1073624683140