Prime p₀= 2736079448962418129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2736078411941166199	0 22 52 64 70 88 108 112 270 274 294 312 318 330 360 382	-1037021251930
STPT(12)	2736078679865321837	0 2 12 14 54 56 60 62 102 104 114 116	-769097096292
SPT(16)	2736078855864966251	0 12 26 38 50 68 98 122 126 150 180 198 210 222 236 248	-593097451878
STPT(10)	2736078994258450661	0 2 6 8 18 20 30 32 36 38	-454703967468
SPT(16)	2736079178163863743	0 4 58 60 66 144 154 156 178 180 190 268 274 276 330 334	-270798554386
SPT(16)	2736079351037042033	0 86 90 114 140 170 206 216 284 294 330 360 386 410 414 500	-97925376096
TPT(14)	2736079586972996351	0 2 6 8 36 38 48 50 138 140 150 152 168 170	138010578222
STPT(10)	2736079618284436679	0 2 48 50 90 92 132 134 180 182	169322018550
STPT(10)	2736079753815809507	0 2 30 32 42 44 54 56 84 86	304853391378
STPT(10)	2736080053430803757	0 2 30 32 42 44 54 56 84 86	604468385628
SPT(16)	2736080103886175723	0 36 56 108 120 138 216 224 300 308 386 404 416 468 488 524	654923757594