Prime p₀= 1127452029457038749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: crashtech
db: batch=76, k=10, 2 46 2 10 2

SPT(16)	1127450739398925983	0 44 66 86 96 144 210 228 236 254 320 368 378 398 420 464	-1290058112766
SPT(16)	1127450962556428033	0 28 40 46 60 90 96 108 196 208 214 244 258 264 276 304	-1066900610716
SPT(16)	1127451041708286221	0 36 62 86 110 138 180 188 240 248 290 318 342 366 392 428	-987748752528
TPT(14)	1127451632463430319	0 2 48 50 78 80 132 134 138 140 180 182 222 224	-396993608430
STPT(10)	1127451695598671591	0 2 30 32 78 80 126 128 156 158	-333858367158
SPT(16)	1127451727619197397	0 26 30 42 44 96 110 156 170 216 230 282 284 296 300 326	-301837841352
STPT(10)	1127452169122436387	0 2 24 26 42 44 60 62 84 86	139665397638
STPT(10)	1127452600651086761	0 2 6 8 18 20 30 32 36 38	571194048012
SPT(16)	1127452898552916829	0 22 70 78 88 112 132 154 168 190 210 234 244 252 300 322	869095878080
STPT(12)	1127452916100227069	0 2 90 92 132 134 168 170 210 212 300 302	886643188320
SPT(16)	1127453085180118297	0 24 46 100 142 144 156 196 210 250 262 264 306 360 382 406	1055723079548