Prime p₀= 2121775485991652537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Dirk Broer
db: batch=80, k=10, 2 10 2 58 2

TPT(14)	2121773945744126699	0 2 60 62 132 134 180 182 198 200 258 260 312 314	-1540247525838
SPT(16)	2121774024259003589	0 24 90 98 104 132 140 164 198 222 230 258 264 272 338 362	-1461732648948
STPT(10)	2121774497059530461	0 2 30 32 78 80 126 128 156 158	-988932122076
SPT(16)	2121774918343859221	0 46 58 60 100 106 120 126 130 136 150 156 196 198 210 256	-567647793316
STPT(10)	2121775233607003367	0 2 30 32 42 44 54 56 84 86	-252384649170
STPT(10)	2121775276879836839	0 2 18 20 30 32 42 44 60 62	-209111815698
STPT(10)	2121775670615051987	0 2 30 32 42 44 54 56 84 86	184623399450
SPT(16)	2121776417984174839	0 18 34 72 84 118 132 184 198 250 264 298 310 348 364 382	931992522302
STPT(10)	2121776435697801401	0 2 30 32 78 80 126 128 156 158	949706148864
SPT(16)	2121776457676369489	0 4 48 64 90 238 294 312 370 388 444 592 618 634 678 682	971684716952
STPT(10)	2121776673550088381	0 2 30 32 78 80 126 128 156 158	1187558435844