Prime p₀= 2814240586971884027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2814239936618243767	0 6 54 100 112 124 190 210 286 306 372 384 396 442 490 496	-650353640260
SPT(16)	2814239952796753717	0 4 10 46 52 60 64 90 106 132 136 144 150 186 192 196	-634175130310
STPT(10)	2814240032776874927	0 2 30 32 42 44 54 56 84 86	-554195009100
TPT(14)	2814240341025763379	0 2 132 134 162 164 228 230 240 242 300 302 312 314	-245946120648
STPT(10)	2814240496717285577	0 2 30 32 42 44 54 56 84 86	-90254598450
TPT(14)	2814240577321690217	0 2 24 26 84 86 120 122 150 152 204 206 252 254	-9650193810
SPT(16)	2814241013300541823	0 36 40 70 84 94 124 130 144 150 180 190 204 234 238 274	426328657796
STPT(10)	2814241117777951031	0 2 30 32 78 80 126 128 156 158	530806067004
STPT(10)	2814241153467374471	0 2 36 38 78 80 120 122 156 158	566495490444
STPT(10)	2814241219912052627	0 2 30 32 72 74 114 116 144 146	632940168600
SPT(16)	2814241235149533649	0 52 82 94 102 118 192 274 318 400 474 490 498 510 540 592	648177649622