Prime p₀= 4276922183726286761 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: Arkhenia
db: batch=85, k=10, 2 4 2 10 2

SPT(16)	4276920987122255011	0 12 18 30 88 96 102 112 156 166 172 180 238 250 256 268	-1196604031750
SPT(16)	4276921096068841921	0 10 22 28 46 70 72 100 108 136 138 162 180 186 198 208	-1087657444840
SPT(16)	4276921460161041569	0 38 48 50 80 138 140 180 260 300 302 360 390 392 402 440	-723565245192
STPT(10)	4276921552911570749	0 2 18 20 30 32 42 44 60 62	-630814716012
STPT(10)	4276921865294991947	0 2 60 62 72 74 84 86 144 146	-318431294814
SPT(16)	4276921865656455053	0 56 68 80 108 110 126 140 246 260 276 278 306 318 330 386	-318069831708
SPT(16)	4276922214953442869	0 24 42 44 114 132 140 180 392 432 440 458 528 530 548 572	31227156108
SPT(18)	4276922247229345277	0 6 44 62 104 210 230 240 252 314 326 336 356 462 504 522 560 566	63503058516
TPT(14)	4276922802287704559	0 2 12 14 18 20 90 92 102 104 168 170 210 212	618561417798
TPT(14)	4276922910106056167	0 2 42 44 72 74 84 86 144 146 180 182 192 194	726379769406
SPT(16)	4276922921134866859	0 30 52 132 174 178 198 208 294 304 324 328 370 450 472 502	737408580098