Prime p₀= 1028512188255160949 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: Theadalus
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1028511050421342077	0 2 42 44 72 74 102 104 144 146	-1137833818872
TPT(14)	1028511150028020497	0 2 12 14 24 26 102 104 144 146 150 152 210 212	-1038227140452
SPT(16)	1028511252798720043	0 34 90 114 118 124 138 150 184 196 210 216 220 244 300 334	-935456440906
STPT(10)	1028511453137421401	0 2 30 32 78 80 126 128 156 158	-735117739548
SPT(16)	1028511651149760073	0 6 24 36 46 70 90 106 114 130 150 174 184 196 214 220	-537105400876
SPT(16)	1028511744848741039	0 38 54 60 68 74 78 80 162 164 168 174 182 188 204 242	-443406419910
TPT(14)	1028512383956947739	0 2 12 14 48 50 90 92 108 110 150 152 168 170	195701786790
STPT(10)	1028512404716672171	0 2 6 8 18 20 30 32 36 38	216461511222
STPT(10)	1028512556239192391	0 2 6 8 48 50 90 92 96 98	367984031442
TPT(14)	1028512728535566047	0 2 12 14 42 44 54 56 72 74 102 104 114 116	540280405098
STPT(10)	1028512870232308001	0 2 30 32 78 80 126 128 156 158	681977147052