Prime p₀= 1044527065326097019 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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1044525561924960523	0 16 30 46 64 70 78 84 130 136 144 150 168 184 198 214	-1503401136496
SPT(16)	1044525846391602581	0 2 42 48 66 68 86 116 222 252 270 272 290 296 336 338	-1218934494438
STPT(10)	1044526394957997569	0 2 48 50 60 62 72 74 120 122	-670368099450
SPT(16)	1044526728704554811	0 56 60 86 108 150 170 176 192 198 218 260 282 308 312 368	-336621542208
SPT(16)	1044526737053192531	0 8 36 56 66 98 138 150 176 188 228 260 270 290 318 326	-328272904488
SPT(16)	1044526950351093487	0 12 22 36 70 90 106 124 132 150 166 186 220 234 244 256	-114975003532
STPT(10)	1044527749537373417	0 2 30 32 42 44 54 56 84 86	684211276398
SPT(16)	1044527767126193201	0 8 12 18 78 92 140 158 210 228 276 290 350 356 360 368	701800096182
SPT(16)	1044527956928905531	0 70 76 88 132 208 222 280 348 406 420 496 540 552 558 628	891602808512
TPT(14)	1044527990309546777	0 2 24 26 192 194 234 236 270 272 444 446 480 482	924983449758
STPT(10)	1044528096579341189	0 2 12 14 30 32 48 50 60 62	1031253244170