Prime p₀= 3001512159635506799 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Coleslaw
db: batch=82, k=10, 2 16 2 40 2

STPT(12)	3001511415310619639	0 2 30 32 42 44 138 140 150 152 180 182	-744324887160
SPT(16)	3001511491965447667	0 64 90 100 120 196 232 250 276 294 330 406 426 436 462 526	-667670059132
SPT(16)	3001511566737599611	0 42 78 142 150 192 198 220 258 280 286 328 336 400 436 478	-592897907188
STPT(10)	3001511736263378867	0 2 12 14 42 44 72 74 84 86	-423372127932
SPT(16)	3001511868081346723	0 24 28 34 48 60 78 88 126 136 154 166 180 186 190 214	-291554160076
STPT(10)	3001512090023089451	0 2 6 8 48 50 90 92 96 98	-69612417348
SPT(16)	3001512217002736091	0 18 20 48 78 110 146 156 200 210 246 278 308 336 338 356	57367229292
STPT(10)	3001512325337124407	0 2 54 56 72 74 90 92 144 146	165701617608
SPT(16)	3001512405800117639	0 24 78 80 108 140 188 204 218 234 282 314 342 344 398 422	246164610840
SPT(16)	3001512449940070897	0 4 52 90 96 102 106 124 132 150 154 160 166 204 252 256	290304564098
STPT(10)	3001513429393585451	0 2 36 38 78 80 120 122 156 158	1269758078652