Prime p₀= 1242556964167792727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1242555971365135709	0 2 18 20 60 62 102 104 120 122	-992802657018
SPT(16)	1242555981193180799	0 62 78 84 92 104 158 164 228 234 288 300 308 314 330 392	-982974611928
TPT(14)	1242556210603660187	0 2 54 56 222 224 450 452 510 512 534 536 594 596	-753564132540
SPT(16)	1242556291459324277	0 2 24 62 74 102 134 140 276 282 314 342 354 392 414 416	-672708468450
STPT(10)	1242556744265625977	0 2 24 26 42 44 60 62 84 86	-219902166750
SPT(16)	1242556943966778679	0 10 42 70 88 100 120 130 162 172 192 204 222 250 282 292	-20201014048
SPT(16)	1242557106016240361	0 20 50 78 128 138 156 180 218 242 260 270 320 348 378 398	141848447634
SPT(16)	1242557120606211547	0 4 36 42 76 90 112 114 172 174 196 210 244 250 282 286	156438418820
SPT(16)	1242557260366998349	0 22 54 64 90 100 102 114 130 142 144 154 180 190 222 244	296199205622
STPT(10)	1242557655069711509	0 2 12 14 90 92 168 170 180 182	690901918782
SPT(16)	1242557706422681393	0 6 8 54 66 140 198 266 288 356 414 488 500 546 548 554	742254888666