Prime p₀= 797142744372791819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	797141789947266103	0 18 70 114 126 168 214 226 228 240 286 328 340 384 436 454	-954425525716
STPT(10)	797141857147094489	0 2 30 32 60 62 90 92 120 122	-887225697330
STPT(10)	797141896990994369	0 2 12 14 90 92 168 170 180 182	-847381797450
SPT(16)	797141984565569353	0 28 36 40 46 54 100 120 124 144 190 198 204 208 216 244	-759807222466
SPT(16)	797142090526388531	0 2 30 36 38 78 80 108 140 168 170 210 212 218 246 248	-653846403288
SPT(16)	797142472910796877	0 34 46 96 102 124 166 172 204 210 252 274 280 330 342 376	-271461994942
STPT(10)	797142759864030791	0 2 30 32 78 80 126 128 156 158	15491238972
STPT(10)	797142772030375877	0 2 12 14 42 44 72 74 84 86	27657584058
SPT(16)	797143097452935187	0 52 136 154 160 162 204 220 276 292 334 336 342 360 444 496	353080143368
SPT(16)	797143103709373259	0 18 20 38 48 68 90 98 114 122 144 164 174 192 194 212	359336581440
SPT(16)	797143958895335459	0 38 50 80 92 174 188 192 200 204 218 300 312 342 354 392	1214522543640