Prime p₀= 2004319179469785749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Dingo
db: batch=80, k=10, 2 16 2 10 2

TPT(14)	2004317116630428179	0 2 60 62 72 74 138 140 228 230 240 242 348 350	-2062839357570
SPT(16)	2004317454749501893	0 28 46 66 70 78 94 96 238 240 256 264 268 288 306 334	-1724720283856
SPT(16)	2004317617153273789	0 42 48 52 70 90 120 142 168 190 220 240 258 262 268 310	-1562316511960
STPT(10)	2004317861441166251	0 2 36 38 78 80 120 122 156 158	-1318028619498
SPT(16)	2004318223633224599	0 2 60 102 128 210 228 258 284 314 332 414 440 482 540 542	-955836561150
SPT(13)	2004319050728237063	0 6 18 30 60 66 108 150 156 186 198 210 216	-128741548686
SPT(16)	2004319341909760973	0 26 56 86 116 144 224 236 258 270 350 378 408 438 468 494	162439975224
SPT(18)	2004319392422929327	0 12 16 64 70 76 126 132 160 246 274 280 330 336 342 390 394 406	212953143578
SPT(16)	2004319553239759501	0 18 30 42 100 186 198 232 246 280 292 378 436 448 460 478	373769973752
SPT(16)	2004319561139465851	0 22 30 42 52 72 88 102 106 120 136 156 166 178 186 208	381669680102
SPT(16)	2004319708389753893	0 8 24 36 56 66 116 140 144 168 218 228 248 260 276 284	528919968144