Prime p₀= 3235505359726370837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: eclipse99
db: batch=83, k=10, 2 10 2 28 2

SPT(13)	3235503775775801459	0 72 102 180 252 264 282 300 312 384 462 492 564	-1583950569378
TPT(14)	3235504097389025261	0 2 90 92 120 122 216 218 426 428 456 458 468 470	-1262337345576
SPT(18)	3235504304485091347	0 22 24 42 46 90 100 114 150 196 232 246 256 300 304 322 324 346	-1055241279490
SPT(16)	3235504405948995707	0 30 60 66 74 86 90 120 170 200 204 216 224 230 260 290	-953777375130
SPT(16)	3235504793075257511	0 12 18 56 68 98 110 132 146 168 180 210 222 260 266 278	-566651113326
STPT(10)	3235505347354464101	0 2 30 32 78 80 126 128 156 158	-12371906736
STPT(10)	3235505657387099189	0 2 18 20 30 32 42 44 60 62	297660728352
SPT(16)	3235505835192536027	0 24 50 84 114 132 162 182 282 302 332 350 380 414 440 464	475466165190
SPT(16)	3235505897910143353	0 60 66 70 84 88 100 118 126 144 156 160 174 178 184 244	538183772516
SPT(16)	3235505927361424867	0 10 16 30 54 100 106 126 190 210 216 262 286 300 306 316	567635054030
STPT(10)	3235506493965137237	0 2 24 26 42 44 60 62 84 86	1134238766400