Prime p₀= 1012037002001924159 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1012036109916226511	0 12 20 26 30 42 68 86 102 120 146 158 162 168 176 188	-892085697648
STPT(10)	1012036170097049297	0 2 30 32 72 74 114 116 144 146	-831904874862
SPT(16)	1012036500768620191	0 46 88 90 100 118 130 156 160 186 198 216 226 228 270 316	-501233303968
STPT(10)	1012036551963428447	0 2 30 32 42 44 54 56 84 86	-450038495712
SPT(16)	1012036669014009941	0 12 18 38 80 98 108 120 158 170 180 198 240 260 266 278	-332987914218
STPT(10)	1012036801188474557	0 2 12 14 42 44 72 74 84 86	-200813449602
STPT(10)	1012037027767735547	0 2 30 32 42 44 54 56 84 86	25765811388
SPT(16)	1012037164895354201	0 2 18 32 86 90 92 102 146 156 158 162 216 230 246 248	162893430042
SPT(16)	1012037369891676761	0 48 122 132 138 188 210 222 266 278 300 350 356 366 440 488	367889752602
SPT(16)	1012037801410393169	0 14 48 74 90 98 198 200 222 224 324 332 348 374 408 422	799408469010
SPT(16)	1012037926674039961	0 42 66 72 76 90 100 126 142 168 178 192 196 202 226 268	924672115802