Prime p₀= 1144278003382248737 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: Putin Has a Small Dick
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1144276971438367307	0 2 30 32 72 74 114 116 144 146	-1031943881430
STPT(10)	1144277070275265131	0 2 6 8 18 20 30 32 36 38	-933106983606
SPT(16)	1144277088024165313	0 18 36 54 60 96 124 154 180 210 238 274 280 298 316 334	-915358083424
SPT(16)	1144277283205209233	0 6 36 66 84 86 104 120 134 150 168 170 188 218 248 254	-720177039504
SPT(16)	1144277351440586593	0 6 58 90 96 130 180 196 228 244 294 328 334 366 418 424	-651941662144
STPT(10)	1144277391316227197	0 2 30 32 42 44 54 56 84 86	-612066021540
STPT(10)	1144278558137760581	0 2 6 8 48 50 90 92 96 98	554755511844
STPT(10)	1144278618216512897	0 2 30 32 42 44 54 56 84 86	614834264160
SPT(16)	1144278621338076137	0 36 84 86 92 114 140 162 194 216 242 264 270 272 320 356	617955827400
SPT(16)	1144278663992598229	0 78 82 84 102 124 130 138 154 162 168 190 208 210 214 292	660610349492
SPT(16)	1144279257864772681	0 66 70 100 168 186 240 246 262 268 322 340 408 438 442 508	1254482523944