Prime p₀= 2756679313153214789 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2756677327489188671	0 2 36 38 96 98 138 140 150 152 168 170 198 200	-1985664026118
SPT(16)	2756677351101951313	0 10 18 36 46 64 70 88 126 144 150 168 178 196 204 214	-1962051263476
STPT(10)	2756677510869231251	0 2 30 32 78 80 126 128 156 158	-1802283983538
SPT(16)	2756677577764034047	0 16 40 76 102 114 126 142 144 160 172 184 210 246 270 286	-1735389180742
SPT(16)	2756678269429521103	0 76 90 168 186 198 210 216 310 316 328 340 358 436 450 526	-1043723693686
SPT(16)	2756679008971587361	0 22 30 36 60 172 186 190 252 256 270 382 406 412 420 442	-304181627428
TPT(14)	2756679415811263277	0 2 12 14 30 32 60 62 84 86 150 152 192 194	102658048488
SPT(16)	2756679901627330153	0 10 60 66 76 94 118 138 166 186 210 228 238 244 294 304	588474115364
STPT(10)	2756680046006503889	0 2 18 20 30 32 42 44 60 62	732853289100
SPT(16)	2756680077924194621	0 12 26 30 50 78 80 108 110 138 140 168 188 192 206 218	764770979832
SPT(16)	2756680124649808793	0 18 24 38 90 104 144 170 228 254 294 308 360 374 380 398	811496594004