Prime p₀= 1253013457268198831 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1253012638759301867	0 2 42 44 72 74 102 104 144 146	-818508896964
SPT(16)	1253013148857271309	0 4 48 60 70 82 102 184 228 310 330 342 352 364 408 412	-308410927522
SPT(16)	1253013186686960533	0 16 28 46 58 108 126 148 198 220 238 288 300 318 330 346	-270581238298
STPT(10)	1253013199397851511	0 2 6 8 48 50 90 92 96 98	-257870347320
SPT(16)	1253013285517363277	0 92 102 120 134 176 204 234 242 272 300 342 356 374 384 476	-171750835554
TPT(14)	1253013413046013271	0 2 30 32 48 50 78 80 90 92 120 122 240 242	-44222185560
SPT(16)	1253014312911714149	0 32 38 44 62 98 102 122 150 170 174 210 228 234 240 272	855643515318
STPT(10)	1253014317000064649	0 2 18 20 30 32 42 44 60 62	859731865818
SPT(16)	1253014484128222853	0 20 78 114 198 224 254 258 296 300 330 356 440 476 534 554	1026860024022
STPT(10)	1253014571190376997	0 2 30 32 60 62 90 92 120 122	1113922178166
SPT(16)	1253014588988007133	0 36 66 78 96 100 106 126 178 198 204 208 226 238 268 304	1131719808302