Prime p₀= 2444650297257813647 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2444648426830134857	0 2 14 24 36 104 120 146 150 176 192 260 272 282 294 296	-1870427678790
STPT(10)	2444648463094257389	0 2 12 14 30 32 48 50 60 62	-1834163556258
SPT(16)	2444648907447695671	0 42 60 76 100 162 202 232 240 270 310 372 396 412 430 472	-1389810117976
SPT(16)	2444648976012555737	0 50 60 126 140 144 146 206 270 330 332 336 350 416 426 476	-1321245257910
SPT(16)	2444649565241170289	0 14 32 44 72 74 78 92 150 164 168 170 198 210 228 242	-732016643358
SPT(16)	2444649793750558813	0 30 40 58 84 90 118 130 138 150 178 184 210 228 238 268	-503507254834
STPT(10)	2444650600025988647	0 2 42 44 72 74 102 104 144 146	302768175000
STPT(10)	2444650936291750787	0 2 30 32 42 44 54 56 84 86	639033937140
STPT(10)	2444651469102320087	0 2 30 32 42 44 54 56 84 86	1171844506440
TPT(14)	2444651732082950207	0 2 54 56 102 104 210 212 234 236 240 242 270 272	1434825136560
SPT(16)	2444651756318857699	0 34 48 60 64 124 138 148 150 160 174 234 238 250 264 298	1459061044052