Prime p₀= 2815509572554759877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2815508827636735523	0 56 66 80 126 164 186 270 380 464 486 524 570 584 594 650	-744918024354
STPT(10)	2815508832793965857	0 2 90 92 132 134 174 176 264 266	-739760794020
SPT(16)	2815508840164742509	0 22 40 54 58 102 184 190 222 228 310 354 358 372 390 412	-732390017368
STPT(10)	2815509004847665331	0 2 6 8 18 20 30 32 36 38	-567707094546
SPT(16)	2815509274805444363	0 24 38 56 84 116 128 150 164 186 198 230 258 276 290 314	-297749315514
STPT(10)	2815509303697655207	0 2 24 26 42 44 60 62 84 86	-268857104670
STPT(10)	2815509680455121759	0 2 48 50 90 92 132 134 180 182	107900361882
SPT(16)	2815509742906183177	0 40 46 66 166 180 186 196 264 274 280 294 394 414 420 460	170351423300
SPT(16)	2815509827724845857	0 42 60 82 84 90 184 210 244 270 364 370 372 394 412 454	255170085980
SPT(16)	2815509866011996213	0 4 54 78 90 100 114 120 124 130 144 154 166 190 240 244	293457236336
SPT(16)	2815510171482713483	0 18 44 48 60 174 188 198 230 240 254 368 380 384 410 428	598927953606