Prime p₀= 2322281555595024389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

SPT(13)	2322279343991713307	0 12 54 60 84 90 132 174 180 204 210 252 264	-2211603311082
STPT(10)	2322279575598251921	0 2 36 38 78 80 120 122 156 158	-1979996772468
SPT(16)	2322280011928147699	0 28 52 88 94 108 114 142 180 208 214 228 234 270 294 322	-1543666876690
STPT(10)	2322280089199115909	0 2 138 140 180 182 222 224 360 362	-1466395908480
STPT(10)	2322280306593143621	0 2 6 8 48 50 90 92 96 98	-1249001880768
SPT(16)	2322280868430660461	0 8 38 56 102 126 140 158 210 228 242 266 312 330 360 368	-687164363928
TPT(14)	2322282218883292409	0 2 18 20 30 32 72 74 120 122 132 134 168 170	663288268020
TPT(14)	2322282455535256259	0 2 78 80 132 134 138 140 168 170 258 260 288 290	899940231870
SPT(16)	2322282592756654559	0 72 78 108 128 162 188 260 330 402 428 462 482 512 518 590	1037161630170
SPT(16)	2322282592866675983	0 14 20 24 90 134 216 230 294 308 390 434 500 504 510 524	1037271651594
SPT(16)	2322283113721641673	0 16 96 114 124 126 130 154 180 204 208 210 220 238 318 334	1558126617284