Prime p₀= 1072001998522942301 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: Theadalus
db: batch=76, k=10, 2 124 2 10 2

SPT(16)	1072000028125292197	0 16 70 72 150 240 306 330 352 376 442 532 610 612 666 682	-1970397650104
STPT(10)	1072000674516273329	0 2 18 20 60 62 102 104 120 122	-1324006668972
SPT(16)	1072001031586732381	0 18 52 66 72 82 88 96 142 150 156 166 172 186 220 238	-966936209920
SPT(16)	1072001254197967271	0 38 72 80 90 92 98 128 132 162 168 170 180 188 222 260	-744324975030
STPT(10)	1072001643210682799	0 2 18 20 30 32 42 44 60 62	-355312259502
STPT(10)	1072001747831152049	0 2 18 20 30 32 42 44 60 62	-250691790252
STPT(10)	1072002167885725169	0 2 30 32 60 62 90 92 120 122	169362782868
TPT(14)	1072002245257353857	0 2 42 44 144 146 192 194 234 236 252 254 264 266	246734411556
SPT(16)	1072002312492338987	0 2 30 84 86 116 144 156 200 212 240 270 272 326 354 356	313969396686
STPT(10)	1072002755973173597	0 2 42 44 72 74 102 104 144 146	757450231296
TPT(14)	1072002903836180579	0 2 90 92 132 134 168 170 228 230 312 314 432 434	905313238278