Prime p₀= 1970297135737395131 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	1970295792301361227	0 16 72 76 94 150 202 226 360 384 436 492 510 514 570 586	-1343436033904
STPT(10)	1970295825722005601	0 2 78 80 138 140 198 200 276 278	-1310015389530
SPT(16)	1970296053054615841	0 10 16 22 42 52 66 78 100 112 126 136 156 162 168 178	-1082682779290
STPT(10)	1970296197474497237	0 2 42 44 72 74 102 104 144 146	-938262897894
SPT(16)	1970296838659671073	0 10 24 34 76 144 154 156 214 216 226 294 336 346 360 370	-297077724058
STPT(10)	1970296969111726217	0 2 30 32 42 44 54 56 84 86	-166625668914
SPT(16)	1970297263216661263	0 24 34 66 78 100 118 120 154 156 174 196 208 240 250 274	127479266132
SPT(16)	1970297435604203957	0 26 30 62 102 132 212 216 320 324 404 434 474 506 510 536	299866808826
STPT(10)	1970297537908208849	0 2 18 20 30 32 42 44 60 62	402170813718
STPT(10)	1970298024288224921	0 2 90 92 168 170 246 248 336 338	888550829790
SPT(16)	1970298398937518543	0 38 108 116 134 150 168 200 234 266 284 300 318 326 396 434	1263200123412