Prime p₀= 2336200420646431187 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2336199410457393619	0 4 28 34 54 102 130 228 274 372 400 448 468 474 498 502	-1010189037568
STPT(10)	2336199722554361327	0 2 42 44 72 74 102 104 144 146	-698092069860
STPT(12)	2336199770544263651	0 2 30 32 60 62 66 68 96 98 126 128	-650102167536
STPT(12)	2336199848120404997	0 2 42 44 84 86 90 92 132 134 174 176	-572526026190
SPT(16)	2336199939972740773	0 60 66 126 138 144 178 180 304 306 340 346 358 418 424 484	-480673690414
TPT(14)	2336200072543976447	0 2 30 32 54 56 144 146 180 182 210 212 264 266	-348102454740
TPT(14)	2336200583749475291	0 2 30 32 156 158 168 170 198 200 210 212 366 368	163103044104
SPT(16)	2336200640938900321	0 10 22 36 42 46 66 70 78 82 102 106 112 126 138 148	220292469134
SPT(16)	2336200694479092359	0 20 50 78 92 128 144 158 174 188 204 240 254 282 312 332	273832661172
STPT(10)	2336201162464480151	0 2 36 38 78 80 120 122 156 158	741818048964
SPT(16)	2336201292954101039	0 8 38 62 80 104 120 122 150 152 168 192 210 234 264 272	872307669852