Prime p₀= 1013303320569789419 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: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1013301402085200329	0 2 48 50 90 92 132 134 180 182	-1918484589090
SPT(16)	1013301838745685737	0 36 62 66 72 86 92 140 156 204 210 224 230 234 260 296	-1481824103682
SPT(16)	1013301982058997713	0 36 54 78 84 146 194 206 288 300 348 410 416 440 458 494	-1338510791706
SPT(16)	1013302268697234799	0 10 22 24 40 52 64 100 204 240 252 264 280 282 294 304	-1051872554620
STPT(10)	1013302320166262681	0 2 36 38 78 80 120 122 156 158	-1000403526738
STPT(10)	1013303261592972401	0 2 6 8 18 20 30 32 36 38	-58976817018
STPT(10)	1013303458478623061	0 2 36 38 78 80 120 122 156 158	137908833642
SPT(16)	1013303848116726989	0 18 20 32 110 138 144 174 188 218 224 252 330 342 344 362	527546937570
SPT(16)	1013303917608183277	0 4 6 16 24 70 90 124 186 220 240 286 294 304 306 310	597038393858
SPT(16)	1013304113834246483	0 14 18 144 146 230 260 278 456 474 504 588 590 716 720 734	793264457064
TPT(14)	1013304322765832441	0 2 108 110 156 158 180 182 210 212 240 242 246 248	1002196043022