Prime p₀= 1236537912420327467 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: MarkRBright
db: batch=77, k=10, 2 28 2 10 2

TPT(14)	1236536396662761851	0 2 18 20 66 68 96 98 126 128 150 152 228 230	-1515757565616
SPT(16)	1236536758602164611	0 16 60 70 78 130 148 160 168 180 198 250 258 268 312 328	-1153818162856
STPT(10)	1236537127341365819	0 2 12 14 30 32 48 50 60 62	-785078961648
SPT(16)	1236537194866841899	0 58 82 84 94 124 132 142 150 160 168 198 208 210 234 292	-717553485568
SPT(16)	1236537418459381517	0 24 50 56 72 84 92 96 110 114 122 134 150 156 182 206	-493960945950
STPT(10)	1236537565908346487	0 2 30 32 60 62 90 92 120 122	-346511980980
STPT(10)	1236538061323905251	0 2 6 8 18 20 30 32 36 38	148903577784
STPT(10)	1236538204203538961	0 2 6 8 48 50 90 92 96 98	291783211494
STPT(10)	1236538340121008927	0 2 30 32 60 62 90 92 120 122	427700681460
STPT(10)	1236538357756796189	0 2 18 20 30 32 42 44 60 62	445336468722
SPT(16)	1236538504129434053	0 8 36 60 104 144 164 170 204 210 230 270 314 338 366 374	591709106586