Prime p₀= 1377269712212524589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: emoga
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1377269082137139787	0 52 154 222 252 256 282 292 294 304 330 334 364 432 534 586	-630075384802
STPT(10)	1377269195958098897	0 2 24 26 42 44 60 62 84 86	-516254425692
STPT(10)	1377269256938042717	0 2 12 14 42 44 72 74 84 86	-455274481872
SPT(16)	1377269388019941827	0 60 74 80 102 186 264 284 312 332 410 494 516 522 536 596	-324192582762
STPT(10)	1377269483397623339	0 2 18 20 30 32 42 44 60 62	-228814901250
SPT(16)	1377269630519983423	0 34 48 84 94 136 138 144 160 166 168 210 220 256 270 304	-81692541166
SPT(18)	1377269840258301839	0 2 24 48 72 90 110 132 150 152 170 192 212 230 254 278 300 302	128045777250
SPT(16)	1377269879500939747	0 12 42 70 166 180 214 256 270 312 346 360 456 484 514 526	167288415158
SPT(16)	1377270191862548261	0 42 48 78 90 98 108 116 192 200 210 218 230 260 266 308	479650023672
SPT(16)	1377270225404091533	0 6 14 36 50 54 78 84 110 116 140 144 158 180 188 194	513191566944
SPT(16)	1377270313006152703	0 40 48 64 78 88 106 144 190 228 246 256 270 286 294 334	600793628114