Prime p₀= 2136786680351212457 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2136784966903379869	0 40 58 84 88 108 114 150 172 208 214 234 238 264 282 322	-1713447832588
STPT(10)	2136785130213898511	0 2 6 8 48 50 90 92 96 98	-1550137313946
STPT(10)	2136785435027318651	0 2 36 38 78 80 120 122 156 158	-1245323893806
SPT(16)	2136785547152035111	0 16 70 72 120 150 160 178 180 198 208 238 286 288 342 358	-1133199177346
STPT(12)	2136786083077864217	0 2 30 32 42 44 60 62 72 74 102 104	-597273348240
TPT(14)	2136786157956040649	0 2 42 44 60 62 132 134 282 284 288 290 342 344	-522395171808
SPT(16)	2136786799856352491	0 18 86 116 128 162 182 206 282 306 326 360 372 402 470 488	119505140034
SPT(18)	2136787007583505813	0 76 78 106 138 180 216 228 246 298 316 328 364 406 438 466 468 544	327232293356
SPT(13)	2136787765505365771	0 12 42 102 120 162 186 210 252 270 330 360 372	1085154153314
TPT(14)	2136788078260472807	0 2 30 32 144 146 162 164 240 242 300 302 354 356	1397909260350
STPT(10)	2136788688483665717	0 2 54 56 72 74 90 92 144 146	2008132453260