Prime p₀= 2142099354085179857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: suriv
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2142098300236182329	0 2 18 20 30 32 42 44 60 62	-1053848997528
SPT(16)	2142098321854008073	0 10 28 36 78 96 118 124 150 156 178 196 238 246 264 274	-1032231171784
SPT(16)	2142098391893822651	0 38 42 80 102 116 158 200 258 300 342 356 378 416 420 458	-962191357206
SPT(16)	2142098535109425637	0 30 42 52 66 72 82 142 150 210 220 226 240 250 262 292	-818975754220
SPT(16)	2142098592546221467	0 34 42 72 82 96 100 130 156 186 190 204 214 244 252 286	-761538958390
STPT(10)	2142098893211204957	0 2 30 32 42 44 54 56 84 86	-460873974900
TPT(14)	2142099626406795017	0 2 54 56 72 74 174 176 222 224 240 242 282 284	272321615160
SPT(16)	2142099916270052989	0 4 108 130 144 150 172 178 204 210 232 238 252 274 378 382	562184873132
STPT(10)	2142100013118103859	0 2 42 44 60 62 78 80 120 122	659032924002
STPT(10)	2142100088421408287	0 2 12 14 72 74 132 134 144 146	734336228430
STPT(10)	2142100257456699431	0 2 36 38 108 110 180 182 216 218	903371519574