Prime p₀= 2562710098351287551 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: Orange Kid
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2562709549342470557	0 2 12 14 54 56 84 86 120 122 162 164 204 206	-549008816994
SPT(16)	2562709633004324099	0 32 60 90 92 132 150 164 168 182 200 240 242 272 300 332	-465346963452
SPT(16)	2562709763686370533	0 30 34 36 60 78 88 96 148 156 166 184 208 210 214 244	-334664917018
STPT(10)	2562709770234668807	0 2 30 32 42 44 54 56 84 86	-328116618744
SPT(16)	2562709970942687413	0 16 58 64 66 70 94 126 178 210 234 238 240 246 288 304	-127408600138
TPT(14)	2562710073969906197	0 2 84 86 192 194 204 206 414 416 432 434 450 452	-24381381354
STPT(10)	2562710216164078949	0 2 42 44 90 92 138 140 180 182	117812791398
SPT(16)	2562710438953218893	0 8 36 54 80 86 104 126 218 240 258 264 290 308 336 344	340601931342
SPT(16)	2562710590852427231	0 38 42 68 72 132 152 156 182 186 206 266 270 296 300 338	492501139680
STPT(10)	2562711007502693657	0 2 30 32 42 44 54 56 84 86	909151406106
STPT(10)	2562711096044992757	0 2 42 44 72 74 102 104 144 146	997693705206