Prime p₀= 813848586875896877 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: marsinph
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	813847992488820671	0 12 56 72 132 170 180 258 260 338 348 386 446 462 506 518	-594387076206
STPT(10)	813848145653874257	0 2 12 14 132 134 252 254 264 266	-441222022620
SPT(16)	813848183363878991	0 38 116 128 158 168 212 240 278 306 350 360 390 402 480 518	-403512017886
SPT(16)	813848388577811963	0 24 48 56 80 84 120 150 164 194 230 234 258 266 290 314	-198298084914
STPT(10)	813848407097422127	0 2 54 56 72 74 90 92 144 146	-179778474750
STPT(10)	813848471813066267	0 2 30 32 42 44 54 56 84 86	-115062830610
STPT(10)	813848648617488269	0 2 30 32 60 62 90 92 120 122	61741591392
SPT(16)	813848678231292817	0 16 24 40 42 46 60 64 102 106 120 124 126 142 150 166	91355395940
TPT(14)	813848920411314971	0 2 66 68 78 80 108 110 150 152 240 242 276 278	333535418094
SPT(16)	813849011021594909	0 60 62 72 74 84 104 152 162 210 230 240 242 252 254 314	424145698032
SPT(16)	813849130032157133	0 24 36 84 110 206 228 236 258 266 288 384 410 458 470 494	543156260256