Prime p₀= 2127782682287761307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: retroactivemind
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2127781705890078527	0 44 50 66 104 134 170 204 212 246 282 312 350 366 372 416	-976397682780
STPT(10)	2127781784886272027	0 2 60 62 102 104 144 146 204 206	-897401489280
STPT(10)	2127781786778907869	0 2 78 80 120 122 162 164 240 242	-895508853438
SPT(16)	2127782509984869263	0 30 56 86 108 126 170 210 224 264 308 326 348 378 404 434	-172302892044
SPT(16)	2127782523613722511	0 12 22 46 48 76 82 90 118 126 132 160 162 186 196 208	-158674038796
STPT(10)	2127782630493926177	0 2 90 92 102 104 114 116 204 206	-51793835130
STPT(12)	2127783709662295439	0 2 72 74 102 104 108 110 138 140 210 212	1027374534132
SPT(16)	2127784204179386191	0 10 18 40 48 82 136 138 370 372 426 460 468 490 498 508	1521891624884
STPT(10)	2127784220248746011	0 2 78 80 138 140 198 200 276 278	1537960984704
SPT(16)	2127784406108736493	0 6 18 46 48 66 76 84 100 108 118 136 138 166 178 184	1723820975186
SPT(16)	2127784679605830313	0 28 34 46 60 66 78 96 118 136 148 154 168 180 186 214	1997318069006