Prime p₀= 2789121766008742667 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

STPT(10)	2789120508983045009	0 2 12 14 90 92 168 170 180 182	-1257025697658
TPT(14)	2789120539487457221	0 2 96 98 168 170 198 200 210 212 258 260 336 338	-1226521285446
SPT(16)	2789120769086234287	0 4 40 60 96 106 112 154 162 204 210 220 256 276 312 316	-996922508380
SPT(16)	2789120825194059779	0 24 30 42 128 132 164 212 360 408 440 444 530 542 548 572	-940814682888
SPT(16)	2789120870378517671	0 62 80 96 98 128 162 210 218 266 300 330 332 348 366 428	-895630224996
STPT(10)	2789121329143776017	0 2 30 32 42 44 54 56 84 86	-436864966650
SPT(16)	2789121808474515751	0 28 42 58 72 102 108 156 382 430 436 466 480 496 510 538	42465773084
SPT(16)	2789121917019501397	0 22 34 60 64 90 112 124 132 144 166 192 196 222 234 256	151010758730
STPT(10)	2789121953026245827	0 2 12 14 42 44 72 74 84 86	187017503160
SPT(16)	2789121954106394183	0 30 36 54 56 68 90 110 114 134 156 168 170 188 194 224	188097651516
TPT(14)	2789122042603799471	0 2 18 20 126 128 156 158 186 188 240 242 246 248	276595056804