Prime p₀= 1306974088962080657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: mikey
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1306972868746168271	0 6 36 86 92 102 120 212 270 362 380 390 396 446 476 482	-1220215912386
STPT(12)	1306972980097386839	0 2 18 20 42 44 198 200 222 224 240 242	-1108864693818
SPT(16)	1306973005559394209	0 14 54 92 114 144 200 204 218 222 278 308 330 368 408 422	-1083402686448
SPT(16)	1306973308282066681	0 6 16 18 42 46 48 72 76 100 102 106 130 132 142 148	-780680013976
STPT(10)	1306973835285714719	0 2 48 50 90 92 132 134 180 182	-253676365938
SPT(16)	1306973872484585593	0 54 66 96 144 148 156 166 168 178 186 190 238 268 280 334	-216477495064
SPT(16)	1306974098659996147	0 6 30 34 66 76 94 150 160 216 234 244 276 280 304 310	9697915490
SPT(16)	1306974364284399883	0 4 24 28 70 76 144 174 190 220 288 294 336 340 360 364	275322319226
SPT(16)	1306974365738905889	0 42 60 72 90 98 102 104 198 200 204 212 230 242 260 302	276776825232
STPT(10)	1306974383493215147	0 2 12 14 42 44 72 74 84 86	294531134490
SPT(16)	1306974508055038127	0 44 74 84 90 114 120 132 182 194 200 224 230 240 270 314	419092957470