Prime p₀= 2623945667410650689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: RFGuy_KCCO
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2623944068412689249	0 8 90 134 138 164 168 218 264 314 318 344 348 392 474 482	-1598997961440
STPT(10)	2623944119347177181	0 2 36 38 78 80 120 122 156 158	-1548063473508
SPT(16)	2623945160713781071	0 12 30 46 52 76 102 126 142 166 192 216 222 238 256 268	-506696869618
STPT(10)	2623945556648859797	0 2 54 56 72 74 90 92 144 146	-110761790892
STPT(10)	2623945572340113641	0 2 6 8 48 50 90 92 96 98	-95070537048
STPT(10)	2623945576713049409	0 2 42 44 60 62 78 80 120 122	-90697601280
STPT(10)	2623946134732562597	0 2 12 14 42 44 72 74 84 86	467321911908
SPT(16)	2623946163622278581	0 8 38 56 170 212 240 246 302 308 336 378 492 510 540 548	496211627892
SPT(16)	2623946172418187681	0 8 72 96 120 122 182 192 296 306 366 368 392 416 480 488	505007536992
SPT(16)	2623946175895744369	0 10 22 54 60 112 138 180 202 244 270 322 328 360 372 382	508485093680
SPT(16)	2623946357711638307	0 32 56 80 90 104 126 132 134 140 162 176 186 210 234 266	690300987618