Prime p₀= 1280877826156988999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1280876663549334893	0 20 38 48 86 98 140 150 164 174 216 228 266 276 294 314	-1162607654106
STPT(10)	1280876726401132769	0 2 18 20 30 32 42 44 60 62	-1099755856230
SPT(16)	1280877132223354807	0 4 30 36 60 66 84 114 142 172 190 196 220 226 252 256	-693933634192
STPT(10)	1280877298863200537	0 2 42 44 72 74 102 104 144 146	-527293788462
TPT(14)	1280877497692715369	0 2 12 14 72 74 150 152 252 254 270 272 348 350	-328464273630
STPT(10)	1280877631183291259	0 2 18 20 30 32 42 44 60 62	-194973697740
SPT(16)	1280877885883481581	0 10 72 90 106 138 148 166 192 210 220 252 268 286 348 358	59726492582
STPT(10)	1280878708358680307	0 2 30 32 60 62 90 92 120 122	882201691308
SPT(16)	1280878763877635921	0 18 38 56 60 108 152 162 206 216 260 308 312 330 350 368	937720646922
SPT(16)	1280878983784767539	0 18 20 42 72 74 120 128 144 152 198 200 230 252 254 272	1157627778540
STPT(10)	1280879003680676381	0 2 36 38 78 80 120 122 156 158	1177523687382