Prime p₀= 1235323649590978247 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: Cruncher Pete
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1235322144823928111	0 20 30 32 42 56 80 90 98 108 132 146 156 158 168 188	-1504767050136
STPT(10)	1235322259046983097	0 2 42 44 72 74 102 104 144 146	-1390543995150
SPT(16)	1235322412836220067	0 56 84 156 170 186 204 260 276 332 350 366 380 452 480 536	-1236754758180
SPT(16)	1235322832624692937	0 42 90 102 184 244 262 292 354 384 402 462 544 556 604 646	-816966285310
TPT(14)	1235323177726508369	0 2 30 32 72 74 78 80 132 134 198 200 210 212	-471864469878
TPT(16)	1235323462723904039	0 2 132 134 168 170 192 194 252 254 360 362 420 422 462 464	-186867074208
STPT(10)	1235323761176424287	0 2 30 32 42 44 54 56 84 86	111585446040
STPT(10)	1235323842848384087	0 2 30 32 42 44 54 56 84 86	193257405840
STPT(10)	1235324153459799449	0 2 48 50 90 92 132 134 180 182	503868821202
SPT(13)	1235324424953302669	0 18 30 42 60 102 150 198 240 258 270 282 300	775362324422
SPT(16)	1235325023001165311	0 20 42 62 66 80 102 186 206 290 312 326 330 350 372 392	1373410187064