Prime p₀= 2121775670615051987 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: Dirk Broer
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2121774024259003589	0 24 90 98 104 132 140 164 198 222 230 258 264 272 338 362	-1646356048398
STPT(10)	2121774497059530461	0 2 30 32 78 80 126 128 156 158	-1173555521526
SPT(16)	2121774918343859221	0 46 58 60 100 106 120 126 130 136 150 156 196 198 210 256	-752271192766
STPT(10)	2121775233607003367	0 2 30 32 42 44 54 56 84 86	-437008048620
STPT(10)	2121775276879836839	0 2 18 20 30 32 42 44 60 62	-393735215148
STPT(10)	2121775485991652537	0 2 12 14 72 74 132 134 144 146	-184623399450
SPT(16)	2121776417984174839	0 18 34 72 84 118 132 184 198 250 264 298 310 348 364 382	747369122852
STPT(10)	2121776435697801401	0 2 30 32 78 80 126 128 156 158	765082749414
SPT(16)	2121776457676369489	0 4 48 64 90 238 294 312 370 388 444 592 618 634 678 682	787061317502
STPT(10)	2121776673550088381	0 2 30 32 78 80 126 128 156 158	1002935036394
TPT(14)	2121776812978075919	0 2 12 14 30 32 72 74 78 80 120 122 150 152	1142363023932