Prime p₀= 1288757582152326467 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

STPT(12)	1288756429126597547	0 2 30 32 42 44 72 74 84 86 114 116	-1153025728920
SPT(16)	1288756846239578693	0 8 14 48 54 90 96 200 204 308 314 350 356 390 396 404	-735912747774
STPT(10)	1288757144827065671	0 2 6 8 18 20 30 32 36 38	-437325260796
STPT(10)	1288757172780164777	0 2 30 32 42 44 54 56 84 86	-409372161690
SPT(16)	1288757216160618773	0 8 20 30 38 44 60 90 158 188 204 210 218 228 240 248	-365991707694
SPT(16)	1288757377625611787	0 12 14 36 50 90 92 126 230 264 266 306 320 342 344 356	-204526714680
SPT(16)	1288757621191695461	0 30 48 56 60 72 86 122 126 162 176 188 192 200 218 248	39039368994
STPT(10)	1288757712971406911	0 2 36 38 78 80 120 122 156 158	130819080444
TPT(16)	1288758181211614031	0 2 18 20 120 122 156 158 198 200 240 242 378 380 396 398	599059287564
STPT(10)	1288758206156928509	0 2 30 32 60 62 90 92 120 122	624004602042
STPT(10)	1288758361766420099	0 2 42 44 60 62 78 80 120 122	779614093632