Prime p₀= 1044549276018113231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

SPT(16)	1044548351088244399	0 12 40 52 70 90 102 108 154 160 172 192 210 222 250 262	-924929868832
STPT(10)	1044548590078954559	0 2 18 20 30 32 42 44 60 62	-685939158672
SPT(16)	1044548960522399723	0 24 44 128 144 158 188 198 200 210 240 254 270 354 374 398	-315495713508
TPT(14)	1044548973738931091	0 2 90 92 138 140 156 158 168 170 186 188 228 230	-302279182140
STPT(10)	1044549120815429231	0 2 30 32 60 62 90 92 120 122	-155202684000
STPT(10)	1044549226616945219	0 2 42 44 60 62 78 80 120 122	-49401168012
SPT(16)	1044549372909586883	0 44 54 86 108 110 164 170 174 180 234 236 258 290 300 344	96891473652
SPT(16)	1044549661769966089	0 22 24 52 70 82 84 114 148 178 180 192 210 238 240 262	385751852858
TPT(14)	1044549728349681947	0 2 24 26 30 32 72 74 84 86 204 206 252 254	452331568716
SPT(16)	1044549742285478711	0 8 42 50 72 98 140 170 408 438 480 506 528 536 570 578	466267365480
TPT(14)	1044550055792148539	0 2 258 260 282 284 408 410 438 440 450 452 522 524	779774035308