Prime p₀= 1253231319126924419 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: RoXoR
db: batch=77, k=10, 2 16 2 40 2

STPT(10)	1253229900568093697	0 2 30 32 42 44 54 56 84 86	-1418558830722
SPT(16)	1253230282541548657	0 64 100 112 124 136 162 166 180 184 210 222 234 246 282 346	-1036585375762
SPT(16)	1253230290156008693	0 6 26 36 44 50 86 96 128 138 174 180 188 198 218 224	-1028970915726
STPT(10)	1253230448855987387	0 2 30 32 60 62 90 92 120 122	-870270937032
STPT(10)	1253231165030407229	0 2 18 20 30 32 42 44 60 62	-154096517190
SPT(16)	1253231284094991679	0 52 100 114 148 154 162 190 192 220 228 234 268 282 330 382	-35031932740
TPT(14)	1253231366946798287	0 2 42 44 102 104 180 182 234 236 240 242 312 314	47819873868
SPT(16)	1253231604369951277	0 114 130 144 166 186 190 256 264 330 334 354 376 390 406 520	285243026858
SPT(16)	1253231628693665587	0 22 30 42 54 64 130 142 192 204 270 280 292 304 312 334	309566741168
SPT(16)	1253231867017469107	0 4 30 66 112 114 172 184 222 234 292 294 340 376 402 406	547890544688
STPT(10)	1253231912829717641	0 2 6 8 18 20 30 32 36 38	593702793222