Prime p₀= 1124891754028152137 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1124889831585013849	0 24 34 40 84 94 132 150 154 172 210 220 264 270 280 304	-1922443138288
SPT(16)	1124890090712289229	0 12 18 84 124 132 142 150 202 210 220 228 268 334 340 352	-1663315862908
STPT(10)	1124890625207025461	0 2 36 38 78 80 120 122 156 158	-1128821126676
STPT(10)	1124890661312279747	0 2 30 32 72 74 114 116 144 146	-1092715872390
SPT(16)	1124890771437555593	0 6 20 66 80 104 116 128 186 198 210 234 248 294 308 314	-982590596544
SPT(16)	1124891485605293039	0 18 32 54 74 104 132 174 188 230 258 288 308 330 344 362	-268422859098
SPT(16)	1124891867568537293	0 24 30 96 150 156 168 194 240 266 278 284 338 404 410 434	113540385156
TPT(14)	1124891873556085487	0 2 12 14 150 152 210 212 222 224 240 242 264 266	119527933350
SPT(20)	1124891919285731719	0 24 114 150 192 220 264 280 304 352 360 408 432 448 492 520 562 598 688 712	165257579582
STPT(10)	1124892166783996319	0 2 18 20 60 62 102 104 120 122	412755844182
SPT(16)	1124893026274516067	0 6 24 30 50 56 84 90 116 122 150 156 176 182 200 206	1272246363930