Prime p₀= 2123494391094327929 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: Chooka
db: batch=80, k=10, 2 16 2 10 2

STPT(12)	2123493439620491801	0 2 30 32 36 38 120 122 126 128 156 158	-951473836128
TPT(14)	2123493544118596607	0 2 12 14 42 44 72 74 180 182 222 224 282 284	-846975731322
SPT(16)	2123493602497098133	0 54 58 78 96 150 180 250 264 334 364 418 436 456 460 514	-788597229796
SPT(16)	2123493608336397673	0 6 10 36 46 76 88 90 124 126 138 168 178 204 208 214	-782757930256
STPT(10)	2123493738206889791	0 2 78 80 138 140 198 200 276 278	-652887438138
TPT(14)	2123493831180267437	0 2 90 92 150 152 192 194 204 206 222 224 234 236	-559914060492
STPT(10)	2123494495837885991	0 2 6 8 18 20 30 32 36 38	104743558062
SPT(16)	2123494716471465431	0 2 6 30 50 146 182 206 216 240 276 372 392 416 420 422	325377137502
SPT(16)	2123495209270363387	0 40 42 64 90 106 114 142 144 172 180 196 222 244 246 286	818176035458
SPT(16)	2123495627183038373	0 6 26 30 90 96 104 116 348 360 368 374 434 438 458 464	1236088710444
SPT(16)	2123495645383146247	0 6 10 16 42 66 120 156 160 196 250 274 300 306 310 316	1254288818318