Prime p₀= 768421666730646959 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: Donn Pike (USAF Ret)
db: batch=73, k=10, 2 28 2 28 2

SPT(16)	768420763655846401	0 36 60 72 90 130 132 156 202 226 228 268 286 298 322 358	-903074800558
SPT(16)	768420881120615087	0 24 60 80 92 140 260 276 380 396 516 564 576 596 632 656	-785610031872
STPT(10)	768421313792550701	0 2 6 8 48 50 90 92 96 98	-352938096258
STPT(10)	768421354929354821	0 2 36 38 78 80 120 122 156 158	-311801292138
STPT(10)	768421549754261069	0 2 18 20 30 32 42 44 60 62	-116976385890
SPT(16)	768421652406943727	0 26 80 84 86 104 114 126 194 206 216 234 236 240 294 320	-14323703232
SPT(16)	768421857690234623	0 50 54 78 96 134 140 156 248 264 270 308 326 350 354 404	190959587664
SPT(20)	768421962543692383	0 70 90 160 196 198 216 234 240 244 300 304 310 328 346 348 384 454 474 544	295813045424
SPT(16)	768422014533050309	0 12 20 60 90 92 110 120 122 132 150 152 182 222 230 242	347802403350
SPT(16)	768422245550930101	0 10 36 48 52 66 76 118 120 162 172 186 190 202 228 238	578820283142
SPT(16)	768422257044472067	0 6 14 20 36 66 86 102 104 120 140 170 186 192 200 206	590313825108