Prime p₀= 2328620744643578051 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2328619557462183991	0 12 18 42 66 132 136 148 150 162 166 232 256 280 286 298	-1187181394060
SPT(16)	2328619737687947941	0 40 46 52 70 90 150 156 196 202 262 282 300 306 312 352	-1006955630110
STPT(10)	2328619987629974219	0 2 18 20 30 32 42 44 60 62	-757013603832
STPT(10)	2328620330311125197	0 2 12 14 42 44 72 74 84 86	-414332452854
SPT(16)	2328620514214485961	0 10 16 66 70 78 96 100 108 112 130 138 142 192 198 208	-230429092090
STPT(12)	2328620621140852229	0 2 42 44 48 50 72 74 78 80 120 122	-123502725822
SPT(16)	2328620859005673437	0 6 20 30 60 86 116 122 150 156 186 212 242 252 266 272	114362095386
STPT(10)	2328620941318330829	0 2 18 20 60 62 102 104 120 122	196674752778
SPT(16)	2328621100384370887	0 12 96 130 166 186 196 214 222 240 250 270 306 340 424 436	355740792836
SPT(16)	2328621769306590427	0 46 60 64 82 124 160 174 202 216 252 294 312 316 330 376	1024663012376
STPT(10)	2328622935353018999	0 2 30 32 60 62 90 92 120 122	2190709440948