Prime p₀= 2354907739453816007 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: fix
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2354905831966673039	0 8 14 74 84 120 158 192 200 234 272 308 318 378 384 392	-1907487142968
SPT(16)	2354905839221648759	0 12 48 50 72 104 132 134 138 140 168 200 222 224 260 272	-1900232167248
STPT(12)	2354905877488900991	0 2 36 38 48 50 78 80 90 92 126 128	-1861964915016
STPT(10)	2354906074090175609	0 2 132 134 150 152 168 170 300 302	-1665363640398
SPT(16)	2354906159109467231	0 6 8 30 50 92 98 102 116 120 126 168 188 210 212 218	-1580344348776
SPT(16)	2354906674554074827	0 40 60 72 96 106 130 132 154 156 180 190 214 226 246 286	-1064899741180
SPT(16)	2354907779909470109	0 30 32 98 122 162 198 210 242 254 290 330 354 420 422 452	40455654102
SPT(16)	2354908225835180551	0 30 40 42 76 100 132 156 226 250 282 306 340 342 352 382	486381364544
STPT(10)	2354908304932278701	0 2 156 158 168 170 180 182 336 338	565478462694
STPT(10)	2354908695824795531	0 2 36 38 78 80 120 122 156 158	956370979524
SPT(16)	2354908821505379329	0 12 58 60 78 82 100 114 178 192 210 214 232 234 280 292	1082051563322