Prime p₀= 2888979521359570757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2888977441079498647	0 16 42 64 84 90 106 124 162 180 196 202 222 244 270 286	-2080280072110
SPT(16)	2888978823027757609	0 22 58 94 112 132 162 168 304 310 340 360 378 414 450 472	-698331813148
STPT(12)	2888978838319695479	0 2 12 14 72 74 78 80 138 140 150 152	-683039875278
SPT(16)	2888979163840797743	0 8 30 44 56 60 74 86 198 210 224 228 240 254 276 284	-357518773014
SPT(16)	2888979373175219011	0 6 22 46 100 132 156 186 256 286 310 342 396 420 436 442	-148184351746
SPT(16)	2888979432940785539	0 12 20 38 42 62 80 98 312 330 348 368 372 390 398 410	-88418785218
STPT(10)	2888979978691955411	0 2 6 8 48 50 90 92 96 98	457332384654
SPT(16)	2888980284079878697	0 42 52 60 66 70 130 154 192 216 276 280 286 294 304 346	762720307940
TPT(14)	2888980564447897319	0 2 30 32 72 74 180 182 210 212 240 242 252 254	1043088326562
SPT(16)	2888980587744774389	0 12 14 32 44 60 74 98 144 168 182 198 210 228 230 242	1066385203632
STPT(10)	2888980821723752849	0 2 30 32 60 62 90 92 120 122	1300364182092