Prime p₀= 1971725920686434579 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Cruncher Pete
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	1971724614949650257	0 2 12 14 72 74 132 134 144 146	-1305736784322
SPT(16)	1971724830962093059	0 4 58 90 102 108 112 172 180 240 244 250 262 294 348 352	-1089724341520
SPT(16)	1971724903819538117	0 26 96 144 150 152 164 194 222 252 264 266 272 320 390 416	-1016866896462
SPT(16)	1971724996720149479	0 20 42 48 90 102 128 230 282 384 410 422 464 470 492 512	-923966285100
TPT(14)	1971725076012032021	0 2 36 38 48 50 270 272 300 302 330 332 366 368	-844674402558
STPT(10)	1971725881168204547	0 2 12 14 42 44 72 74 84 86	-39518230032
SPT(16)	1971726099377732353	0 6 24 36 40 66 90 106 138 154 178 204 208 220 238 244	178691297774
STPT(10)	1971726298184463641	0 2 6 8 18 20 30 32 36 38	377498029062
SPT(16)	1971726664676628779	0 2 24 90 104 134 150 164 300 314 330 360 374 440 462 464	743990194200
SPT(16)	1971727166612785807	0 16 30 40 52 70 106 162 184 240 276 294 306 316 330 346	1245926351228
STPT(10)	1971727223044335257	0 2 54 56 72 74 90 92 144 146	1302357900678