Prime p₀= 2079278801279843687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2079276961195490377	0 10 24 70 72 124 154 180 256 282 312 364 366 412 426 436	-1840084353310
SPT(16)	2079277002181984723	0 28 66 76 96 130 144 150 154 160 174 208 228 238 276 304	-1799097858964
SPT(16)	2079277797831209827	0 4 24 52 54 82 120 154 312 346 384 412 414 442 462 466	-1003448633860
TPT(14)	2079277918026916301	0 2 30 32 36 38 60 62 120 122 186 188 270 272	-883252927386
STPT(12)	2079277935802587671	0 2 48 50 90 92 138 140 180 182 228 230	-865477256016
SPT(16)	2079278113862484853	0 16 58 114 154 184 220 234 250 264 300 330 370 426 468 484	-687417358834
SPT(16)	2079278817464386861	0 46 58 100 108 148 168 178 198 208 228 268 276 318 330 376	16184543174
STPT(12)	2079278912278159181	0 2 18 20 30 32 198 200 210 212 228 230	110998315494
STPT(10)	2079279418551854567	0 2 42 44 72 74 102 104 144 146	617272010880
STPT(10)	2079279423670665647	0 2 30 32 72 74 114 116 144 146	622390821960
SPT(16)	2079279457846554809	0 30 32 54 60 62 80 104 108 132 150 152 158 180 182 212	656566711122