Prime p₀= 1215580475824585691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: mikey
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1215579148607675627	0 2 12 14 42 44 72 74 84 86	-1327216910064
STPT(12)	1215579458263676249	0 2 18 20 42 44 78 80 102 104 120 122	-1017560909442
SPT(16)	1215579692095749601	0 10 36 78 82 96 112 148 150 186 202 216 220 262 288 298	-783728836090
STPT(10)	1215579900065432789	0 2 18 20 30 32 42 44 60 62	-575759152902
SPT(16)	1215580104477432761	0 2 12 26 42 48 68 72 86 90 110 116 132 146 156 158	-371347152930
STPT(10)	1215580289917193537	0 2 30 32 42 44 54 56 84 86	-185907392154
STPT(10)	1215580563893434547	0 2 12 14 42 44 72 74 84 86	88068848856
SPT(16)	1215580645384465891	0 6 12 40 42 76 100 130 168 198 222 256 258 286 292 298	169559880200
TPT(14)	1215580778056511147	0 2 30 32 54 56 84 86 114 116 150 152 240 242	302231925456
TPT(14)	1215581050775033021	0 2 60 62 78 80 120 122 126 128 156 158 186 188	574950447330
STPT(10)	1215581070282103139	0 2 18 20 30 32 42 44 60 62	594457517448