Prime p₀= 781023847170450197 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]steini
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	781023211095028409	0 2 32 60 72 92 102 134 180 212 222 242 254 282 312 314	-636075421788
TPT(14)	781023252569358191	0 2 30 32 66 68 96 98 108 110 126 128 156 158	-594601092006
TPT(14)	781023285362322599	0 2 48 50 102 104 120 122 210 212 240 242 288 290	-561808127598
SPT(16)	781023387134117623	0 58 60 66 70 96 166 168 196 198 268 294 298 304 306 364	-460036332574
SPT(16)	781023387855147803	0 6 20 66 78 80 98 108 146 156 174 176 188 234 248 254	-459315302394
SPT(16)	781023503609467843	0 4 28 36 40 54 70 96 148 174 190 204 208 216 240 244	-343560982354
SPT(16)	781024058163265019	0 38 42 54 74 80 90 120 122 152 162 168 188 200 204 242	210992814822
STPT(10)	781024093435030607	0 2 30 32 42 44 54 56 84 86	246264580410
SPT(16)	781024275040315373	0 30 84 90 104 126 140 170 174 204 218 240 254 260 314 344	427869865176
SPT(16)	781024390950730337	0 6 12 26 32 66 74 186 230 342 350 384 390 404 410 416	543780280140
STPT(10)	781024781109765089	0 2 18 20 30 32 42 44 60 62	933939314892