Prime p₀= 1236769236302383097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: MarkRBright
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1236768231531406757	0 32 50 102 110 122 164 182 204 222 264 276 284 336 354 386	-1004770976340
STPT(10)	1236768396326640137	0 2 72 74 102 104 132 134 204 206	-839975742960
SPT(16)	1236768449498278031	0 18 38 96 156 180 210 236 282 308 338 362 422 480 500 518	-786804105066
STPT(10)	1236768848818296551	0 2 6 8 18 20 30 32 36 38	-387484086546
STPT(10)	1236768851944125959	0 2 18 20 30 32 42 44 60 62	-384358257138
SPT(16)	1236769207196548213	0 6 48 60 90 108 138 144 160 166 196 214 244 256 298 304	-29105834884
SPT(20)	1236769862782083401	0 38 56 62 72 158 162 186 200 228 230 258 272 296 300 386 396 402 420 458	626479700304
SPT(16)	1236769936457440729	0 18 22 24 42 54 88 94 138 144 178 190 208 210 214 232	700155057632
SPT(16)	1236770064574162627	0 10 36 46 64 84 90 124 132 166 172 192 210 220 246 256	828271779530
TPT(14)	1236770067019953731	0 2 108 110 126 128 150 152 156 158 180 182 336 338	830717570634
SPT(16)	1236770231388446239	0 24 28 70 72 90 114 130 132 148 172 190 192 234 238 262	995086063142