Prime p₀= 1271954017583513237 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: xii5ku
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1271953416735865637	0 2 54 56 72 74 90 92 144 146	-600847647600
TPT(14)	1271953480164073277	0 2 114 116 264 266 270 272 282 284 294 296 312 314	-537419439960
SPT(16)	1271953625959989103	0 4 28 48 60 84 138 180 208 250 304 328 340 360 384 388	-391623524134
SPT(16)	1271953703215045391	0 6 30 90 120 128 162 168 260 266 300 308 338 398 422 428	-314368467846
SPT(16)	1271953776742260373	0 10 24 34 54 88 100 108 160 168 180 214 234 244 258 268	-240841252864
STPT(10)	1271953890680485091	0 2 30 32 78 80 126 128 156 158	-126903028146
SPT(16)	1271954589109383143	0 6 30 68 74 96 98 116 138 156 158 180 186 224 248 254	571525869906
STPT(10)	1271955144081234209	0 2 42 44 60 62 78 80 120 122	1126497720972
STPT(10)	1271955162678587741	0 2 6 8 48 50 90 92 96 98	1145095074504
SPT(13)	1271955622089532843	0 30 60 66 114 126 210 294 306 354 360 390 420	1604506019606
SPT(16)	1271955694962149291	0 30 42 68 72 90 138 152 168 182 230 248 252 278 290 320	1677378636054