Prime p₀= 1267969579061196371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Megacruncher
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1267966858372154977	0 10 36 46 60 64 102 106 150 154 192 196 210 220 246 256	-2720689041394
STPT(10)	1267967064866344439	0 2 18 20 60 62 102 104 120 122	-2514194851932
SPT(18)	1267967194617205939	0 52 84 120 138 190 198 202 204 238 240 244 252 304 322 358 390 442	-2384443990432
STPT(10)	1267967529708829289	0 2 18 20 30 32 42 44 60 62	-2049352367082
SPT(16)	1267968337047148271	0 12 30 56 86 96 122 192 236 306 332 342 372 398 416 428	-1242014048100
STPT(10)	1267969094010298637	0 2 42 44 72 74 102 104 144 146	-485050897734
TPT(14)	1267969726320570041	0 2 30 32 96 98 150 152 228 230 378 380 390 392	147259373670
SPT(16)	1267969908762050321	0 6 18 98 116 150 168 188 210 230 248 282 300 380 392 398	329700853950
SPT(16)	1267970153786636981	0 20 30 36 48 62 102 116 132 146 186 200 212 218 228 248	574725440610
SPT(16)	1267970169761507449	0 102 124 168 228 234 250 268 294 312 328 334 394 438 460 562	590700311078
SPT(16)	1267970281852660201	0 6 12 22 40 46 48 58 60 70 72 78 96 106 112 118	702791463830